bwmeta1.element.bwnjournal-journal-aa, Tome 168 (2015)

Sommaire

Relative Bogomolov extensions

Robert Grizzard

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p. 1-13

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The arithmetic of curves defined by iteration

Wade Hindes

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p. 1-27

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An extension of the Khinchin-Groshev theorem

Anish Ghosh ; Robert Royals

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p. 1-17

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Generators and integral points on twists of the Fermat cubic

Yasutsugu Fujita ; Tadahisa Nara

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p. 1-16

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On the functional properties of Bessel zeta-functions

Takumi Noda

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p. 1-13

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Equidistribution and the heights of totally real and totally p-adic numbers

Paul Fili ; Zachary Miner

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p. 15-25

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Simplicity of twists of abelian varieties

Alex Bartel

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p. 15-22

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On the behavior close to the unit circle of the power series whose coefficients are squared Möbius function values

Oleg Petrushov

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p. 17-30

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Continued fractions on the Heisenberg group

Anton Lukyanenko ; Joseph Vandehey

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p. 19-42

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The Dirichlet-Bohr radius

Daniel Carando ; Andreas Defant ; Domingo A. Garcí ; Manuel Maestre ; Pablo Sevilla-Peris

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p. 23-37

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On metric theory of Diophantine approximation for complex numbers

Zhengyu Chen

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p. 27-46

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Prime rational functions

Omar Kihel ; Jesse Larone

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p. 29-46

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On invariants of elliptic curves on average

Amir Akbary ; Adam Tyler Felix

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p. 31-70

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A comparison of elliptic units in certain prime power conductor cases

Ulrich Schmitt

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p. 39-65

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Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree

Nazar Arakelian ; Herivelto Borges

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p. 43-66

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Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines

Masatoshi Suzuki

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p. 47-65

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On a conjecture of Sárközy and Szemerédi

Yong-Gao Chen

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p. 47-58

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Asymptotic formulas for the coefficients of certain automorphic functions

Jaban Meher ; Karam Deo Shankhadhar

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p. 59-76

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Algebraic S-integers of fixed degree and bounded height

Fabrizio Barroero

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p. 67-90

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The largest prime factor of X³ + 2

A. J. Irving

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p. 67-80

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Equality of Dedekind sums modulo 8ℤ

Emmanuel Tsukerman

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p. 67-72

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On the multiples of a badly approximable vector

Yann Bugeaud

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p. 71-81

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Sums of three cubes, II

Trevor D. Wooley

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p. 73-100

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Modular embeddings and rigidity for Fuchsian groups

Robert A. Kucharczyk

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p. 77-100

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Number of solutions of cubic Thue inequalities with positive discriminant

N. Saradha ; Divyum Sharma

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p. 81-95

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Asymptotic formulae for partition ranks

Jehanne Dousse ; Michael H. Mertens

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p. 83-100

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On the dimension of additive sets

P. Candela ; H. A. Helfgott

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p. 91-100

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Chebotarev sets

Hershy Kisilevsky ; Michael O. Rubinstein

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p. 97-124

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3x+1 inverse orbit generating functions almost always have natural boundaries

Jason P. Bell ; Jeffrey C. Lagarias

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p. 101-120

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On various mean values of Dirichlet L-functions

Takuya Okamoto ; Tomokazu Onozuka

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p. 101-115

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Indices of subfields of cyclotomic ℤₚ-extensions and higher degree Fermat quotients

Yoko Inoue ; Kaori Ota

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p. 101-114

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Another smallest part function related to Andrews' spt function

Alexander E. Patkowski

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p. 101-105

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Beta expansion of Salem numbers approaching Pisot numbers with the finiteness property

Hachem Hichri

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p. 107-119

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Commutative algebraic groups and p-adic linear forms

Clemens Fuchs ; Duc Hiep Pham

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p. 115-147

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On arithmetic progressions on Edwards curves

Enrique González-Jiménez

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p. 117-132

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Asymptotic distribution and symmetric means of algebraic numbers

Igor E. Pritsker

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p. 121-138

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Polynomial quotients: Interpolation, value sets and Waring's problem

Zhixiong Chen ; Arne Winterhof

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p. 121-134

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On the S-Euclidean minimum of an ideal class

Kevin J. McGown

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p. 125-144

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Remarques sur le premier cas du théorème de Fermat sur les corps de nombres

Alain Kraus

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p. 133-141

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Asymptotics for a class of arithmetic functions

Wenguang Zhai

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p. 135-160

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L_{p}

- and

S_{p, q}^{r} B

-discrepancy of (order 2) digital nets

Lev Markhasin

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p. 139-159

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Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality

Christoph Aistleitner ; Josef Dick

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p. 143-171

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Quadratic congruences on average and rational points on cubic surfaces

Stephan Baier ; Ulrich Derenthal

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p. 145-171

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On a sum involving the Möbius function

I. Kiuchi ; M. Minamide ; Y. Tanigawa

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p. 149-168

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Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers

Hajime Kaneko ; Takeshi Kurosawa ; Yohei Tachiya ; Taka-aki Tanaka

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p. 161-186

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Isogeny orbits in a family of abelian varieties

Qian Lin ; Ming-Xi Wang

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p. 161-173

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Sums and differences of power-free numbers

Julia Brandes

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p. 169-180

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End-symmetric continued fractions and quadratic congruences

Barry R. Smith

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p. 173-187

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A note on ternary purely exponential diophantine equations

Yongzhong Hu ; Maohua Le

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p. 173-182

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Fonctions digitales le long des nombres premiers

Bruno Martin ; Christian Mauduit ; Joël Rivat

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p. 175-197

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Proof of a conjectured three-valued family of Weil sums of binomials

Daniel J. Katz ; Philippe Langevin

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p. 181-199

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On the first sign change in Mertens' theorem

Jan Büthe

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p. 183-195

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The range of the sum-of-proper-divisors function

Florian Luca ; Carl Pomerance

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p. 187-199

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Random Thue and Fermat equations

Rainer Dietmann ; Oscar Marmon

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p. 189-200

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The Davenport constant of a box

Alain Plagne

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p. 197-219

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A density theorem and extreme values of automorphic L-functions at one

Yingnan Wang

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p. 199-229

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Modular case of Levinson's theorem

Damien Bernard

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p. 201-237

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Further remarks on Diophantine quintuples

Mihai Cipu

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p. 201-219

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Small values of the Riemann zeta function on the critical line

Justas Kalpokas ; Paulius Šarka

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p. 201-220

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Convergence of series of dilated functions and spectral norms of GCD matrices

Christoph Aistleitner ; István Berkes ; Kristian Seip ; Michel Weber

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p. 221-246

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A structure theorem for sets of small popular doubling

Przemysław Mazur

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p. 221-239

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Plus grand facteur premier de valeurs de polynômes aux entiers

R. de la Bretèche

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p. 221-250

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Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties

Do Duc Thai ; Nguyen Huu Kien

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p. 231-242

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Transcendence results on the generating functions of the characteristic functions of certain self-generating sets, II

Peter Bundschuh ; Keijo Väänänen

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p. 239-249

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Cohen-Kuznetsov liftings of quasimodular forms

Min Ho Lee

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p. 241-256

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Khintchine types of translated coordinate hyperplanes

Felipe A. Ramírez

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p. 243-273

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On additive bases II

Weidong Gao ; Dongchun Han ; Guoyou Qian ; Yongke Qu ; Hanbin Zhang

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p. 247-267

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The minimal resultant locus

Robert Rumely

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p. 251-290

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The moduli space of totally marked degree two rational maps

Anupam Bhatnagar

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p. 251-260

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Solutions to xyz = 1 and x + y + z = k in algebraic integers of small degree, II

H. G. Grundman ; L. L. Hall-Seelig

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p. 257-276

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Consecutive primes in tuples

William D. Banks ; Tristan Freiberg ; Caroline L. Turnage-Butterbaugh

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p. 261-266

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A localized uniformly Jarník set in continued fractions

Yuanhong Chen ; Yu Sun ; Xiaojun Zhao

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p. 267-280

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Approximation properties of β-expansions

Simon Baker

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p. 269-287

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On the Riesz means of n/ϕ(n) - III

Ayyadurai Sankaranarayanan ; Saurabh Kumar Singh

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p. 275-286

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Heights and totally p-adic numbers

Lukas Pottmeyer

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p. 277-291

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Congruences of Ankeny-Artin-Chowla type and the p-adic class number formula revisited

František Marko

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p. 281-298

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Primefree shifted Lucas sequences

Lenny Jones

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p. 287-298

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On a conjecture of Lemke and Kleitman

Xiangneng Zeng ; Yuanlin Li ; Pingzhi Yuan

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p. 289-299

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On fundamental solutions of binary quadratic form equations

Keith R. Matthews ; John P. Robertson ; Anitha Srinivasan

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p. 291-299

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Nilakantha's accelerated series for π

David Brink

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p. 293-308

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Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves

Min Sha ; Igor E. Shparlinski

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p. 299-325

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Acknowledgment of priority

A. Mouhib

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p. 299

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Primality test for numbers of the form

{(2 p)}^{2^{n}} + 1

Yingpu Deng ; Dandan Huang

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p. 301-317

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Piatetski-Shapiro meets Chebotarev

Yıldırım Akbal ; Ahmet Muhtar Güloğlu

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p. 301-325

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On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1

Akiko Ito

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p. 301-339

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Some q-supercongruences for truncated basic hypergeometric series

Victor J. W. Guo ; Jiang Zeng

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p. 309-326

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Stabilization in non-abelian Iwasawa theory

Andrea Bandini ; Fabio Caldarola

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p. 319-329

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Multiplicatively dependent triples of Tribonacci numbers

Carlos Alexis Ruiz Gómez ; Florian Luca

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p. 327-353

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Double integrals on a weighted projective plane and Hilbert modular functions for ℚ (√5)

Atsuhira Nagano

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p. 327-345

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A problem of Rankin on sets without geometric progressions

Melvyn B. Nathanson ; Kevin O'Bryant

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p. 327-342

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Theta series associated with certain positive definite binary quadratic forms

Heng Huat Chan

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p. 331-356

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Coefficient bounds for level 2 cusp forms

Paul Jenkins ; Kyle Pratt

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p. 341-367

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On second 2-descent and non-congruent numbers

Yi Ouyang ; Shenxing Zhang

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p. 343-360

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On the congruence f(x) + g(y) + c ≡ 0 (mod xy) (completion of Mordell's proof)

A. Schinzel

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p. 347-374

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Continued fraction expansions for complex numbers-a general approach

S. G. Dani

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p. 355-369

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The sequence of fractional parts of roots

Kevin O'Bryant

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p. 357-371

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Some new evaluations of the Legendre symbol ((a+b√q)/p)

Lerna Pehlivan ; Kenneth S. Williams

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p. 361-380

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The divisor function on residue classes I

Prapanpong Pongsriiam ; Robert C. Vaughan

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p. 369-381

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On families of 9-congruent elliptic curves

Tom Fisher

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p. 371-387

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On the number of rational points of Jacobians over finite fields

Philippe Lebacque ; Alexey Zykin

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p. 373-384

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The cardinality of sumsets: different summands

Brendan Murphy ; Eyvindur Ari Palsson ; Giorgis Petridis

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p. 375-395

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Roots of unity in definite quaternion orders

Luis Arenas-Carmona

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p. 381-393

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An example in Beurling's theory of generalised primes

Faez Al-Maamori ; Titus Hilberdink

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p. 383-395

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Points algébriques de degrés au plus 12 sur la quintique de Fermat

Thiéyacine Top ; Oumar Sall

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p. 385-395

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