bwmeta1.element.bwnjournal-journal-aa, Tome 155 (2012)

Sommaire

On sums of Ramanujan sums

T. H. Chan ; A. V. Kumchev

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p. 1-10

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The Ramsey-type version of a problem of Pomerance and Schinzel

Péter Pál Pach

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p. 1-5

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Square-free values of n² + 1

D. R. Heath-Brown

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p. 1-13

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Substitutions and 1/2-discrepancy of nθ + x

David Ralston

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p. 1-28

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Multiplicative independence and bounded height

John Garza

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p. 1-6

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Fields of definition of building blocks with quaternionic multiplication

Xavier Guitart

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p. 1-14

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On the Diophantine equation

(\binom{n}{k_{1}, . . ., k_{s}}) = x^{l}

Peng Yang ; Tianxin Cai

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p. 7-9

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Small Galois groups that encode valuations

Ido Efrat ; Ján Mináč

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p. 7-17

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Lower bounds for power moments of L-functions

Amir Akbary ; Brandon Fodden

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p. 11-38

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A note on a product formula for the cubic Gauss sum

Hiroshi Ito

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p. 11-21

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An equivalent of Kronecker's theorem for powers of an algebraic number and structure of linear recurrences of fixed length

Nevio Dubbini ; Maurizio Monge

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p. 15-33

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On the determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)

Dorian Goldfeld ; Alex Kontorovich

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p. 15-26

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How many primes can divide the values of a polynomial?

Florian Luca ; Paul Pollack

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p. 19-27

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Short character sums with Fermat quotients

Mei-Chu Chang

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p. 23-38

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Schinzel's problem: Imprimitive covers and the monodromy method

Michael D. Fried ; Ivica Gusić

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p. 27-40

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On the largest prime factor of the partition function of n

Javier Cilleruelo ; Florian Luca

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p. 29-38

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Pair correlation of lattice points with prime constraint

Maosheng Xiong ; Alexandru Zaharescu

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p. 29-43

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Mahler measure of the Horie unit and Weber's class number problem in the cyclotomic ℤ₃-extension of ℚ

Takayuki Morisawa

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p. 35-49

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Integral points of a modular curve of level 11

René Schoof ; Nikos Tzanakis

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p. 39-49

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On determination of GL₃ cusp forms

Qingfeng Sun

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p. 39-54

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Simultaneous approximation to a real number and to its cube by rational numbers

Stéphane Lozier ; Damien Roy

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p. 39-73

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On additive decompositions of the set of quadratic residues modulo p

András Sárközy

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p. 41-51

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The prime number theorem in short intervals for automorphic L-functions

Y. Qu ; J. Wu

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p. 45-59

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Arithmetic and ergodic properties of 'flipped' continued fraction algorithms

K. Dajani ; C. Kraaikamp ; V. Masarotto

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p. 51-79

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Local heights on Galois covers of the projective line

Robin de Jong

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p. 51-70

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Generalized Frobenius numbers: bounds and average behavior

Iskander Aliev ; Lenny Fukshansky ; Martin Henk

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p. 53-62

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Twisted inhomogeneous Diophantine approximation and badly approximable sets

Stephen Harrap

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p. 55-82

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Improvements on the star discrepancy of (t,s)-sequences

Henri Faure ; Christiane Lemieux

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p. 61-78

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Zero-cycles and rational points on some surfaces over a global function field

J.-L. Colliot-Thélène ; Sir Peter Swinnerton-Dyer

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p. 63-70

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Higher dimensional Dedekind sums in function fields

Abdelmejid Bayad ; Yoshinori Hamahata

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p. 71-80

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Improved discrepancy bounds for hybrid sequences involving Halton sequences

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p. 71-84

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Nonvanishing of Siegel-Poincaré series II

Soumya Das ; Winfried Kohnen ; Jyoti Sengupta

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p. 75-81

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Intermediate Diophantine exponents and parametric geometry of numbers

Oleg N. German

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p. 79-101

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Upper bounds for the

L_{q}

norm of Fekete polynomials on subarcs

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p. 81-91

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On the limit distribution of Frobenius numbers

Andreas Strömbergsson

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p. 81-107

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On lattice points in large convex bodies

Jingwei Guo

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p. 83-108

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Gintautas Bareikis ; Algirdas Mačiulis

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p. 83-99

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On the Hausdorff dimension of the expressible set of certain sequences

Jaroslav Hančl ; Radhakrishnan Nair ; Lukáš Novotný ; Jan Šustek

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p. 85-90

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A symmetric diophantine system concerning fifth powers

Ajai Choudhry ; Jarosław Wróblewski

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p. 91-95

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Rational points on some elliptic surfaces

Enrico Jabara

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p. 93-108

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On interaction of Hecke-Shimura rings: symplectic versus orthogonal

Anatoli Andrianov

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p. 97-107

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Some problems about the ternary quadratic form m₁² + m₂² + m₃²

Ruting Guo ; Wenguang Zhai

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p. 101-121

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Large families of pseudorandom binary sequences constructed by using the Legendre symbol

Huaning Liu ; Jing Gao

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p. 103-108

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Egyptian fractions with restrictions

Yong-Gao Chen ; Christian Elsholtz ; Li-Li Jiang

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p. 109-123

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Manin's conjecture for two quartic del Pezzo surfaces with 3A₁ and A₁ + A₂ singularity types

Pierre Le Boudec

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p. 109-163

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Complete asymptotic expansions for certain multiple q-integrals and q-differentials of Thomae-Jackson type

Masanori Katsurada

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p. 109-136

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A decomposition of the space of higher order modular cusp forms

Karen Taylor

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p. 109-132

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A set of squares without arithmetic progressions

Katalin Gyarmati ; Imre Z. Ruzsa

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p. 109-115

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Familles d'équations de Thue-Mahler n'ayant que des solutions triviales

Claude Levesque ; Michel Waldschmidt

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p. 117-138

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On sums involving products of three binomial coefficients

Zhi-Wei Sun

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p. 123-141

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Lemmes de Siegel d'évitement

Éric Gaudron ; Gaël Rémond

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p. 125-136

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Primes in arithmetic progressions to spaced moduli

Roger C. Baker

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p. 133-159

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Euclidean quadratic forms and ADC forms: I

Pete L. Clark

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p. 137-159

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The equation n₁n₂ = n₃n₄, the gcd-sum function and the mean values of certain character sums

Huaning Liu ; Wenguang Zhai

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p. 137-157

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Groupes de Galois résolubles et séries formelles

François Laubie ; Delphine Poingt

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p. 139-147

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Representation fields for cyclic orders

Luis Arenas-Carmona

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p. 143-158

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A polynomial investigation inspired by work of Schinzel and Sierpiński

Michael Filaseta ; Joshua Harrington

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p. 149-161

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Higher congruence companion forms

Rajender Adibhatla ; Jayanta Manoharmayum

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p. 159-175

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Points on X⁺₀(N) over quadratic fields

Keisuke Arai ; Fumiyuki Momose

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p. 159-173

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Congruences for Ramanujan's ϕ function

Song Heng Chan

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p. 161-189

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Arithmetic progressions in a unique factorization domain

Sudhir R. Ghorpade ; Samrith Ram

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p. 161-171

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Product-free sets with high density

Pär Kurlberg ; Jeffrey C. Lagarias ; Carl Pomerance

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p. 163-173

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Primitive divisors of certain elliptic divisibility sequences

Paul Voutier ; Minoru Yabuta

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p. 165-190

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L-functions at the origin and annihilation of class groups in multiquadratic extensions

Jonathan W. Sands

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p. 173-185

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On p-adic Siegel modular forms of non-real Nebentypus

Toshiyuki Kikuta

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p. 175-183

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On a conjecture of Pomerance

L. Hajdu ; N. Saradha ; R. Tijdeman

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p. 175-184

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Matrix divisibility sequences

Gunther Cornelissen ; Jonathan Reynolds

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p. 177-188

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Lower bounds for the conductor of L-functions

J. Kaczorowski ; A. Perelli

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p. 185-199

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Points de hauteur bornée sur les variétés de drapeaux en caractéristique finie

Emmanuel Peyre

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p. 185-216

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Zero-density estimate for modular form L-functions in weight aspect

Bob Hough

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p. 187-216

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Density of rational points on elliptic surfaces

Ronald van Luijk

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p. 189-199

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On the hybrid mean value of Cochrane sums and generalized Kloosterman sums

Tingting Wang

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p. 191-197

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On a tower of Ihara and its limit

Nicolás Caro ; Arnaldo Garcia

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p. 191-200

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Independence measures of arithmetic functions II

Takao Komatsu ; Vichian Laohakosol ; Pattira Ruengsinsub

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p. 199-216

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On certain statistical properties of continued fractions with even and with odd partial quotients

Florin P. Boca ; Joseph Vandehey

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p. 201-221

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Linear polynomials in numbers of bounded degree

Wolfgang M. Schmidt

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p. 201-205

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On some generalizations of the diophantine equation

s (1^{k} + 2^{k} + \dots + x^{k}) + r = d y^{n}

Csaba Rakaczki

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p. 201-216

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Linear recurrences as sums of squares

Mariusz Skałba

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p. 207-216

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The Brauer-Kuroda formula for higher S-class numbers in dihedral extensions of number fields

Luca Caputo

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p. 217-239

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Generalised prime systems with periodic integer counting function

Titus Hilberdink

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p. 217-241

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On power values of pyramidal numbers, I

Andrej Dujella ; Kálmán Győry ; Ákos Pintér

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p. 217-226

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Natural numbers n for which ⌊nα + s⌋ ≠ ⌊nβ + s⌋

Douglas Bowman ; Alexandru Zaharescu

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p. 217-233

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A generalization of a theorem of Lekkerkerker to Ostrowski's decomposition of natural numbers

Edward B. Burger ; David C. Clyde ; Cory H. Colbert ; Gea Hyun Shin ; Zhaoning Wang

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p. 217-249

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Cantor series constructions of sets of normal numbers

Bill Mance

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p. 223-245

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Number of solutions in a box of a linear homogeneous equation in an Abelian group

Maciej Zakarczemny

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p. 227-231

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Elliptic Carmichael numbers and elliptic Korselt criteria

Joseph H. Silverman

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p. 233-246

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Linear correlations amongst numbers represented by positive definite binary quadratic forms

Lilian Matthiesen

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p. 235-306

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Almost-primes represented by quadratic polynomials

Robert J. Lemke Oliver

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p. 241-261

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Sommes friables de fonctions multiplicatives aléatoires

Joseph Basquin

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p. 243-266

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On some new congruences for generalized Bernoulli numbers

Shigeru Kanemitsu ; Jerzy Urbanowicz ; Nianliang Wang

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p. 247-258

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Convexity and a sum-product type estimate

Liangpan Li ; Oliver Roche-Newton

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p. 247-255

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Class numbers of ring class fields of prime conductor

Omer Kucuksakalli

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p. 251-269

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On the diaphony of some finite hybrid point sets

Peter Hellekalek ; Peter Kritzer

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p. 257-282

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Effective results for restricted rational approximation to quadratic irrationals

Michael A. Bennett ; Yann Bugeaud

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p. 259-269

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Arithmetic properties of overpartition pairs

William Y. C. Chen ; Bernard L. S. Lin

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p. 263-277

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Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics

Yûsuke Okuyama

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p. 267-277

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The number of solutions of a homogeneous linear congruence

Karol Cwalina ; Tomasz Schoen

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p. 271-279

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On Waring's problem for two cubes and two small cubes

Jörg Brüdern

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p. 271-285

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A generalization of the classical circle problem

Yong-Gao Chen ; Min Tang

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p. 279-290

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Perfect powers in q-binomial coefficients

Florian Luca

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p. 279-292

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Class number one problem for real quadratic fields of a certain type

Kostadinka Lapkova

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p. 281-298

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Elementary Deuring-Heilbronn phenomenon

Jeffrey Stopple

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p. 283-291

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Mean value theorems for binary Egyptian fractions II

Jing-Jing Huang ; Robert C. Vaughan

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p. 287-296

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Torsion groups of elliptic curves over quadratic fields

Sheldon Kamienny ; Filip Najman

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p. 291-305

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New properties for the Ramanujan-Göllnitz-Gordon continued fraction

Boonrod Yuttanan

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p. 293-310

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Transcendence of the Artin-Mazur zeta function for polynomial maps of 𝔸¹(𝔽̅ₚ)

Andrew Bridy

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p. 293-300

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Linear independence of Hurwitz zeta values and a theorem of Baker-Birch-Wirsing over number fields

Sanoli Gun ; M. Ram Murty ; Purusottam Rath

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p. 297-309

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The prime number theorem for Beurling's generalized numbers. New cases

Jan-Christoph Schlage-Puchta ; Jasson Vindas

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p. 299-324

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Elliptic curves with bounded ranks in function field towers

Lisa Berger

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p. 301-323

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Using Lucas sequences to generalize a theorem of Sierpiński

Lenny Jones

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p. 307-322

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On a divisor problem related to the Epstein zeta-function, IV

Guangshi Lü ; Jie Wu ; Wenguang Zhai

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p. 307-324

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Diophantine equations of matching games II

Wai Yan Pong ; Roelof J. Stroeker

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p. 311-323

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Small values of the Euler function and the Riemann hypothesis

Jean-Louis Nicolas

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p. 311-321

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Arf equivalence II

Jeonghun Kim ; Robert Perlis

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p. 323-337

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Points on quadratic twists of X₀(N)

Ekin Ozman

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p. 323-348

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On the 4-rank of ideal class groups of quadratic function fields

Sunghan Bae ; Hwanyup Jung

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p. 325-360

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Algebraic independence of real numbers with low density of nonzero digits

Hajime Kaneko

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p. 325-351

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Linear equations over multiplicative groups in positive characteristic

Dominik J. Leitner

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p. 325-347

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The k-tuple jumping champions among consecutive primes

Shaoji Feng ; Xiaosheng Wu

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p. 325-339

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Spectral factorization of trigonometric polynomials and lattice geometry

Wayne Lawton

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p. 339-347

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Odd parts of tame kernels of dihedral extensions

Haiyan Zhou

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p. 341-349

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On the height of cyclotomic polynomials

Bartłomiej Bzdęga

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p. 349-359

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On the reducibility type of trinomials

Andrew Bremner ; Maciej Ulas

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p. 349-372

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On some number-theoretic sums introduced by Jacobsthal

Helge Tverberg

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p. 349-351

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Kloosterman sums with prime variable

Roger C. Baker

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p. 351-372

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A Grunwald-Wang type theorem for abelian varieties

Brendan Creutz

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p. 353-370

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Small gaps between zeros of twisted L-functions

J. B. Conrey ; H. Iwaniec ; K. Soundararajan

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p. 353-371

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Semi-invariants of binary forms and identities for Bernoulli, Euler and Hermite polynomials

Leonid Bedratyuk

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p. 361-376

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Recollections of Leonard Carlitz (including: The publications of Leonard Carlitz)

Joel V. Brawley ; John Brillhart ; Henry W. Gould

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p. 361-405

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Sequences and dynamical systems associated with canonical approximation by rationals

Andrew Haas

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p. 371-384

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On the system of Diophantine equations

a^{2} + b^{2} = {(m^{2} + 1)}^{r}

and

a^{x} + b^{y} = {(m^{2} + 1)}^{z}

Florian Luca

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p. 373-392

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Geometric properties of the zeta function

Hugh L. Montgomery ; John G. Thompson

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p. 373-396

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On a problem of Sierpiński

Yong-Gao Chen

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p. 373-382

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On Waring's problem: two cubes and two minicubes

Siu-lun Alan Lee

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p. 377-399

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Theoretical evidence in support of the extended abelian rank one Stark conjecture for the base field ℚ

Daniel Vallières

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p. 383-402

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On a diophantine problem with one prime, two squares of primes and s powers of two

Alessandro Languasco ; Valentina Settimi

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p. 385-412

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On the indices of multiquadratic number fields

Attila Pethő ; Michael E. Pohst

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p. 393-414

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The Bounded Gap Conjecture and bounds between consecutive Goldbach numbers

János Pintz

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p. 397-405

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Application of the explicit abc-conjecture to two Diophantine equations

N. Saradha

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p. 401-419

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The 8-rank of tame kernels of quadratic number fields

Xuejun Guo ; Hourong Qin

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p. 407-424

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Exceptional units and cyclic resultants

C. L. Stewart

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p. 407-418

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Inhomogeneous approximation with coprime integers and lattice orbits

Michel Laurent ; Arnaldo Nogueira

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p. 413-427

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Weak Néron models for cubic polynomial maps over a non-Archimedean field

Jean-Yves Briend ; Liang-Chung Hsia

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p. 415-428

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Baker's explicit abc-conjecture and applications

Shanta Laishram ; T. N. Shorey

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p. 419-429

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A basis for the space of modular forms

Shinji Fukuhara

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p. 421-427

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Corrigendum to the paper “A note on the Diophantine equation

x^{2} + q^{m} = y^{3}

” (Acta Arith. 146 (2011), 195-202)

H. L. Zhu

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p. 425-426

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Primitive prime factors in second-order linear recurrence sequences

Andrew Granville

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p. 431-452

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On a question of Schinzel about the length and Mahler's measure of polynomials that have a zero on the unit circle

Edward Dobrowolski

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p. 453-463

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