bwmeta1.element.bwnjournal-journal-aa, Tome 139 (2009)

Sommaire

The complete determination of wide Richaud-Degert types which are not 5 modulo 8 with class number one

Jungyun Lee

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p. 1-29

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A note on global units and local units of function fields

Su Hu ; Yan Li

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p. 1-8

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On solutions of the equation Xⁿ + Yⁿ = BZⁿ with prime n|BZ

Preda Mihăilescu

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p. 1-6

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Palindromes dans les progressions arithmétiques

Sylvain Col

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p. 1-41

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Integer points close to convex surfaces

M. C. Lettington

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p. 1-23

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Algebraic setup of non-strict multiple zeta values

Shuichi Muneta

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p. 7-18

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An algorithmic construction of cyclic p-extensions of fields, with characteristic different from p, not containing the pth roots of unity

Richard Massy

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p. 9-16

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The Goldston-Pintz-Yıldırım sieve and maximal gaps

Hakan Ali-John Seyalioglu

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p. 17-42

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On zeros of approximate functions of the Rankin-Selberg L-functions

Masatoshi Suzuki

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p. 19-45

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Difference sets and polynomials of prime variables

Hongze Li ; Hao Pan

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p. 25-52

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The p-adic valuation of k-central binomial coefficients

Armin Straub ; Victor H. Moll ; Tewodros Amdeberhan

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p. 31-42

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On some new estimates for h¯(ℚ(ζₚ))

Stanislav Jakubec

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p. 43-50

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p-adic polylogarithms and irrationality

Pierre Bel

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p. 43-55

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On the smallest pseudopower

Jean Bourgain ; Sergei V. Konyagin ; Carl Pomerance ; Igor E. Shparlinski

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p. 43-55

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On sumsets and spectral gaps

Ernie Croot ; Tomasz Schoen

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p. 47-55

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Lower order terms in the 1-level density for families of holomorphic cuspidal newforms

Steven J. Miller

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p. 51-98

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Asymptotically tight bounds on subset sums

Simon Griffiths

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p. 53-72

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Arithmetic properties of polynomial specializations over finite fields

Paul Pollack

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p. 57-79

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The second moment of Dirichlet twists of Hecke L-functions

Peng Gao ; Rizwanur Khan ; Guillaume Ricotta

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p. 57-65

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On the Diophantine equation

X^{2} - (2^{2 m} + 1) Y^{4} = - 2^{2 m}

Michael Stoll ; P. G. Walsh ; Pingzhi Yuan

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p. 57-63

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On a mixed problem in Diophantine approximation

Yann Bugeaud ; Bernard de Mathan

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p. 65-77

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Parametric geometry of numbers and applications

Wolfgang M. Schmidt ; Leonhard Summerer

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p. 67-91

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The first moment of quadratic Dirichlet L-functions

Matthew P. Young

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p. 73-99

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Indecomposable polynomials and their spectrum

Arnaud Bodin ; Pierre Dèbes ; Salah Najib

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p. 79-100

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Arithmetic functions on Beatty sequences

Abercrombie Alex G. ; Banks William D. ; Shparlinski Igor E.

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p. 81-89

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Exact exponent in the remainder term of Gelfond's digit theorem in the binary case

Vladimir Shevelev

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p. 91-100

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Addendum to the paper: "On the number of terms of a composite polynomial" (Acta Arith. 127 (2007), 157-167)

Umberto Zannier

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p. 93-99

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Two conjectures by Zhi-Hong Sun

Constantin N. Beli

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p. 99-131

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Representing integers as linear combinations of S-units

Zs. Ádám ; L. Hajdu ; F. Luca

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p. 101-107

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A note on the pseudorandomness of the Liouville function

Huaning Liu ; Wenguang Zhai

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p. 101-121

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Correction to "Computing Galois groups by means of Newton polygons" (Acta Arith. 115 (2004), 71-84)

Michael Kölle ; Peter Schmid

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p. 101-103

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Function fields with 3-rank at least 2

Allison M. Pacelli

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p. 101-110

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The Erdős-Heilbronn problem for finite groups

Paul Balister ; Jeffrey Paul Wheeler

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p. 105-118

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Cyclic polygons of integer points

M. N. Huxley ; S. V. Konyagin

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p. 109-136

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On the group of circular units of any compositum of quadratic fields

Zdeněk Polický

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p. 111-115

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A general discrepancy estimate based on p-adic arithmetics

Peter Hellekalek

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p. 117-129

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Stern polynomials and double-limit continued fractions

Karl Dilcher ; Kenneth B. Stolarsky

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p. 119-134

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Algebraic relations between special values of multiple sine functions

Hidekazu Tanaka

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p. 123-134

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Stability aspects of arithmetic functions, II

Tomasz Kochanek

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p. 131-146

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A note on primes of the form p=aq² + 1

Kaisa Matomäki

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p. 133-137

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On the 4-rank of tame kernels of quadratic number fields

Xuejun Guo

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p. 135-149

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Large families of elliptic curve pseudorandom binary sequences

Huaning Liu ; Tao Zhan ; Xiaoyun Wang

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p. 135-144

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A note on Jeśmanowicz' conjecture concerning primitive Pythagorean triplets

Maohua Le

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p. 137-144

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On sumfree subsets of hypercubes

Daniel J. Katz

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p. 139-153

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Counting points of fixed degree and bounded height

Martin Widmer

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p. 145-168

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On the structure of sets with many k-term arithmetic progressions

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p. 145-164

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The Rhin-Viola method for log 2

Raffaele Marcovecchio

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p. 147-184

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Representations by quaternary quadratic forms whose coefficients are 1, 3 and 9

Ayşe Alaca

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p. 151-166

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Quasimodular forms and Poincaré series

Min Ho Lee

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p. 155-169

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Irrationality proof of a q-extension of ζ(2) using little q-Jacobi polynomials

Christophe Smet ; Walter Van Assche

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p. 165-178

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An irregular D(4)-quadruple cannot be extended to a quintuple

Alan Filipin

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p. 167-176

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Generalizations of Apostol-Vu and Mordell-Tornheim multiple zeta functions

Takuya Okamoto

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p. 169-187

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The Lehmer strength bounds for total ramification

John Garza

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p. 171-176

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Classes de Steinitz d'extensions non abéliennes de degré p³

Clément Bruche

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p. 177-191

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Manin's conjecture on a nonsingular quartic del Pezzo surface

Fok-Shuen Leung

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p. 177-199

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Distribution properties of sequences generated by Q-additive functions with respect to Cantor representation of integers

Roswitha Hofer ; Friedrich Pillichshammer ; Gottlieb Pirsic

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p. 179-200

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Additive properties of a pair of sequences

Fabricio Benevides ; Jonathan Hulgan ; Nathan Lemons ; Cory Palmer ; Ago-Erik Riet ; Jeffrey Paul Wheeler

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p. 185-197

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Additive problems involving primes of special type

Yingchun Cai ; Minggao Lu

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p. 189-204

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Elliptic curves with all quadratic twists of positive rank

Tim Dokchitser ; Vladimir Dokchitser

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p. 193-197

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Addendum on the equation aX⁴ - bY² = 2

S. Akhtari ; A. Togbé ; P. G. Walsh

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p. 199-202

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Parabolic, hyperbolic and elliptic Poincaré series

Özlem Imamoḡlu ; Cormac O'Sullivan

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p. 199-228

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Continued fractions with sequences of partial quotients over the field of Laurent series

Xue Hai Hu ; Jun Wu

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p. 201-211

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Values of special indefinite quadratic forms

Guido Elsner

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p. 201-237

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A further note on "On the equation aX⁴-bY² = 2"

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p. 203-206

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Fast computation of Gauss sums and resolution of the root of unity ambiguity

Dang Khoa Nguyen ; Bernhard Schmidt

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p. 205-232

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Classifying Lehmer triples

Robert Juricevic

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p. 207-232

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Functional equation for partial zeta functions twisted by additive characters

Hugo Chapdelaine

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p. 213-228

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Universality of a non-classical integral quadratic form over ℚ(√5)

Jesse Ira Deutsch

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p. 229-242

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Billiards and the five distance theorem

Jan Florek

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p. 229-239

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Explicit constructions of extractors and expanders

Norbert Hegyvári ; François Hennecart

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p. 233-249

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Powers of a rational number modulo 1 cannot lie in a small interval

Artūras Dubickas

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p. 233-239

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The level of distribution of the special values of L-functions

Ritabrata Munshi

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p. 239-257

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Estimating heights using auxiliary functions

Charles L. Samuels

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p. 241-251

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A construction of pseudorandom binary sequences using both additive and multiplicative characters

László Mérai

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p. 241-252

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On the non-quadraticity of values of the q-exponential function and related q-series

Christian Krattenthaler ; Igor Rochev ; Keijo Väänänen ; Wadim Zudilin

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p. 243-269

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On a conjecture on exponential Diophantine equations

Mihai Cipu ; Maurice Mignotte

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p. 251-270

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On the logarithmic derivatives of Dirichlet L-functions at s=1

Yasutaka Ihara ; V. Kumar Murty ; Mahoro Shimura

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p. 253-276

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On the distribution of the distances of multiples of an irrational number to the nearest integer

Henk Don

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p. 253-264

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A determinant formula for congruence zeta functions of maximal real cyclotomic function fields

Daisuke Shiomi

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p. 259-268

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A formula for the supersingular polynomial

Luís R. A. Finotti

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p. 265-273

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Indivisibility of class numbers of global function fields

Allison M. Pacelli ; Michael Rosen

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p. 269-287

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Interaction sums and action of Hecke operators on theta-series

Anatoli Andrianov

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p. 271-304

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Tame kernels of cyclic extensions of number fields

Haiyan Zhou

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p. 271-277

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Squares in Lehmer sequences and the Diophantine equation Ax⁴ - By² = 2

Pingzhi Yuan ; Yuan Li

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p. 275-302

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Variation of the argument of the Riemann ξ function on vertical lines

Xiannan Li

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p. 277-284

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A Banach space determined by the Weil height

Daniel Allcock ; Jeffrey D. Vaaler

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p. 279-298

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A local-global criterion for dynamics on ℙ¹

Joseph H. Silverman ; José Felipe Voloch

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p. 285-294

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Local conditions for global representations of quadratic forms

Rainer Schulze-Pillot

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p. 289-299

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Metric and arithmetic properties of mediant-Rosen maps

Cor Kraaikamp ; Hitoshi Nakada ; Thomas A. Schmidt

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p. 295-324

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Multiple zeta values for coordinatewise limits at non-positive integers

Yoshitaka Sasaki

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p. 299-317

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The Chen primes contain arbitrarily long arithmetic progressions

Binbin Zhou

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p. 301-315

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Edmund Hlawka (1916-2009)

Wolfgang M. Schmidt

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p. 303-320

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Arithmetical Hilbert symbols, distance maps and cohomology

Luis Arenas-Carmona

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p. 305-315

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Number of solutions of certain congruences

Guangshi Lü

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p. 317-328

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On the number of large integer points on elliptic curves

P. G. Walsh

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p. 317-327

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Univoque numbers and an avatar of Thue-Morse

Jean-Paul Allouche ; Christiane Frougny

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p. 319-329

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Higher order modular forms and mixed Hodge theory

Ramesh Sreekantan

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p. 321-340

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Inverse Additive Number Theory. XI. Long arithmetic progressions in sets with small sumsets

Gregory A. Freiman

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p. 325-331

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On Bialostocki's conjecture for zero-sum sequences

Song Guo ; Zhi-Wei Sun

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p. 329-334

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On totally real Hilbert-Speiser fields of type Cₚ

Cornelius Greither ; Henri Johnston

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p. 329-336

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Effective results for linear equations in two unknowns from a multiplicative division group

Attila Bérczes ; Jan-Hendrik Evertse ; Kálmán Győry

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p. 331-349

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Power sums of Hecke eigenvalues and application

J. Wu

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p. 333-344

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Zeros of Dirichlet series with periodic coefficients

Eric Saias ; Andreas Weingartner

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p. 335-344

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On the independence of σ(ϕ(n)) and ϕ(σ(n))

Mohand-Ouamar Hernane ; Florian Luca

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p. 337-346

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An arithmetical mapping and applications to Ω-results for the Riemann zeta function

Titus Hilberdink

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p. 341-367

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Bounds for the discrete correlation of infinite sequences on k symbols and generalized Rudin-Shapiro sequences

E. Grant ; J. Shallit ; T. Stoll

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p. 345-368

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Equidistribution of dynamically small subvarieties over the function field of a curve

X. W. C. Faber

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p. 345-389

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Rational points on certain quintic hypersurfaces

Maciej Ulas

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p. 347-356

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Generalized ABC theorems for non-Archimedean entire functions of several variables in arbitrary characteristic

William Cherry ; Cristina Toropu

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p. 351-384

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The joint universality and the generalized strong recurrence for Dirichlet L-functions

Takashi Nakamura

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p. 357-362

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On the Bombieri-Korobov estimate for Weyl sums

Scott T. Parsell

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p. 363-372

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Elementary 3-descent with a 3-isogeny

Henri Cohen ; Fabien Pazuki

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p. 369-404

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How many points contain arithmetic progressions in their continued fraction expansion?

Xin Tong ; Baowei Wang

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p. 369-376

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On the discrepancy of some hybrid sequences

Harald Niederreiter

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p. 373-398

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Fonction de Tschakaloff et fonction q-exponentielle

Jean-Paul Bézivin

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p. 377-393

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On Hilbert-Speiser type imaginary quadratic fields

Humio Ichimura ; Hiroki Sumida-Takahashi

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p. 385-389

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Convexity bounds for L-functions

D. R. Heath-Brown

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p. 391-395

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On the number of representations of integers as the sum of k terms

Sándor Z. Kiss

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p. 395-406

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