bwmeta1.element.bwnjournal-journal-aa, Tome 166 (2014)

Sommaire

Arithmetic diophantine approximation for continued fractions-like maps on the interval

Avraham Bourla

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p. 1-23

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Koecher-Maass series of a certain half-integral weight modular form related to the Duke-Imamoḡlu-Ikeda lift

Hidenori Katsurada ; Hisa-aki Kawamura

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p. 1-42

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Automorphisms of Witt rings of global fields

Alfred Czogała ; Mieczysław Kula

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p. 1-13

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Explicit estimates on the summatory functions of the Möbius function with coprimality restrictions

Olivier Ramaré

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p. 1-10

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Uniformly counting rational points on conics

Efthymios Sofos

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p. 1-13

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Théorème des nombres premiers pour les fonctions digitales

Bruno Martin ; Christian Mauduit ; Joël Rivat

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p. 11-45

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Computing higher rank primitive root densities

P. Moree ; P. Stevenhagen

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p. 15-32

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Asymptotic nature of higher Mahler measure

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p. 15-21

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On canonical subfield preserving polynomials

Giacomo Micheli ; Davide Schipani

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p. 23-32

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Polynomial relations amongst algebraic units of low measure

John Garza

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p. 25-30

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A note on the article by F. Luca “On the system of Diophantine equations

a ² + b ² = {(m ² + 1)}^{r}

and

a^{x} + b^{y} = {(m ² + 1)}^{z}

” (Acta Arith. 153 (2012), 373-392)

Takafumi Miyazaki

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p. 31-42

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Modular parametrizations of certain elliptic curves

Matija Kazalicki ; Koji Tasaka

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p. 33-43

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On the mean value of a kind of zeta functions

Kui Liu

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p. 33-54

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A note on two linear forms

Nikolay Moshchevitin

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p. 43-50

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Kloosterman sums in residue rings

J. Bourgain ; M. Z. Garaev

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p. 43-64

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The mantissa distribution of the primorial numbers

Bruno Massé ; Dominique Schneider

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p. 45-58

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Rational solutions of certain Diophantine equations involving norms

Maciej Ulas

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p. 47-56

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A class of permutation trinomials over finite fields

Xiang-dong Hou

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p. 51-64

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A generalization of a theorem of Erdős-Rényi to m-fold sums and differences

Kathryn E. Hare ; Shuntaro Yamagishi

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p. 55-67

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The evaluation of two-dimensional lattice sums via Ramanujan's theta functions

Ping Xu

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p. 57-89

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Proof of a conjecture of Hirschhorn and Sellers on overpartitions

William Y. C. Chen ; Ernest X. W. Xia

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p. 59-69

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Optimal 𝓛₂ discrepancy bounds for higher order digital sequences over the finite field 𝔽₂

Josef Dick ; Friedrich Pillichshammer

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p. 65-99

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Perfect powers expressible as sums of two fifth or seventh powers

Sander R. Dahmen ; Samir Siksek

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p. 65-100

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A dynamical Shafarevich theorem for twists of rational morphisms

Brian Justin Stout

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p. 69-80

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Effective results for Diophantine equations over finitely generated domains

Attila Bérczes ; Jan-Hendrik Evertse ; Kálmán Győry

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p. 71-100

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Construction of normal numbers via pseudo-polynomial prime sequences

Manfred G. Madritsch

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p. 81-99

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Counting rational points near planar curves

Ayla Gafni

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p. 91-100

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Some new maps and ideals in classical Iwasawa theory with applications

David Solomon

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p. 101-140

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Complete arcs arising from a generalization of the Hermitian curve

Herivelto Borges ; Beatriz Motta ; Fernando Torres

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p. 101-118

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The distribution of Fourier coefficients of cusp forms over sparse sequences

Huixue Lao ; Ayyadurai Sankaranarayanan

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p. 101-110

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On the average value of the canonical height in higher dimensional families of elliptic curves

Wei Pin Wong

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p. 101-128

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Large gaps between consecutive zeros of the Riemann zeta-function. II

H. M. Bui

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p. 101-122

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On 2-extensions of the rationals with restricted ramification

Peter Schmid

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p. 111-125

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On the behaviour close to the unit circle of the power series with Möbius function coefficients

Oleg Petrushov

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p. 119-136

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Quaternion extensions with restricted ramification

Peter Schmid

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p. 123-140

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Solving a ± b = 2c in elements of finite sets

Vsevolod F. Lev ; Rom Pinchasi

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p. 127-140

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An asymptotic formula related to the divisors of the quaternary quadratic form

Liqun Hu

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p. 129-140

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Local-global principle for certain biquadratic normic bundles

Yang Cao ; Yongqi Liang

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p. 137-144

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On the value set of small families of polynomials over a finite field, II

Guillermo Matera ; Mariana Pérez ; Melina Privitelli

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p. 141-179

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Factors of a perfect square

Tsz Ho Chan

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p. 141-143

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The spt-crank for overpartitions

Frank G. Garvan ; Chris Jennings-Shaffer

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p. 141-188

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On some mean value results for the zeta-function in short intervals

Aleksandar Ivić

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p. 141-158

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Vandermonde nets

Roswitha Hofer ; Harald Niederreiter

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p. 145-160

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Bad(s,t) is hyperplane absolute winning

Erez Nesharim ; David Simmons

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p. 145-152

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On the sum of dilations of a set

Antal Balog ; George Shakan

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p. 153-162

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A ternary Diophantine inequality over primes

Roger Baker ; Andreas Weingartner

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p. 159-196

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The sum of divisors of a quadratic form

Lilu Zhao

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p. 161-177

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Galois towers over non-prime finite fields

Alp Bassa ; Peter Beelen ; Arnaldo Garcia ; Henning Stichtenoth

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p. 163-179

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The asymptotic behaviour of the counting functions of Ω-sets in arithmetical semigroups

Maciej Radziejewski

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p. 179-198

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The mean square of the divisor function

Chaohua Jia ; Ayyadurai Sankaranarayanan

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p. 181-208

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Totally indefinite Euclidean quaternion fields

Jean-Paul Cerri ; Jérôme Chaubert ; Pierre Lezowski

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p. 181-200

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Horizontal monotonicity of the modulus of the zeta function, L-functions, and related functions

Yu. Matiyasevich ; F. Saidak ; P. Zvengrowski

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p. 189-200

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The digamma function, Euler-Lehmer constants and their p-adic counterparts

T. Chatterjee ; S. Gun

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p. 197-208

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On the sum of the first n values of the Euler function

R. Balasubramanian ; Florian Luca ; Dimbinaina Ralaivaosaona

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p. 199-201

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Descent via (3,3)-isogeny on Jacobians of genus 2 curves

Nils Bruin ; E. Victor Flynn ; Damiano Testa

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p. 201-223

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Piatetski-Shapiro sequences via Beatty sequences

Lukas Spiegelhofer

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p. 201-229

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Jumps of ternary cyclotomic coefficients

Bartłomiej Bzdęga

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p. 203-213

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On the cyclotomic elements in K₂ of a rational function field

Kejian Xu ; Chaochao Sun ; Shanjie Chi

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p. 209-219

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The additive complements of primes and Goldbach's problem

Li-Xia Dai ; Hao Pan

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p. 209-221

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On the exact location of the non-trivial zeros of Riemann's zeta function

Juan Arias de Reyna ; Jan van de Lune

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p. 215-245

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Sumsets in quadratic residues

I. D. Shkredov

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p. 221-243

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On the concentration of certain additive functions

Dimitris Koukoulopoulos

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p. 223-241

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On the ordinarity of the maximal real subfield of cyclotomic function fields

Daisuke Shiomi

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p. 225-242

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On the higher mean over arithmetic progressions of Fourier coefficients of cusp forms

Yujiao Jiang ; Guangshi Lü

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p. 231-252

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Sparsity of the intersection of polynomial images of an interval

Mei-Chu Chang

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p. 243-249

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An extension of a theorem of Duffin and Schaeffer in Diophantine approximation

Faustin Adiceam

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p. 243-254

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The Cohen-Lenstra heuristics, moments and

p^{j}

-ranks of some groups

Christophe Delaunay ; Frédéric Jouhet

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p. 245-263

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The Selberg-Delange method in short intervals with an application

Z. Cui ; J. Wu

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p. 247-260

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A criterion for potentially good reduction in nonarchimedean dynamics

Robert L. Benedetto

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p. 251-256

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Determination of a type of permutation trinomials over finite fields

Xiang-dong Hou

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p. 253-278

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Four squares of primes and powers of 2

Lilu Zhao

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p. 255-271

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On the class numbers of real cyclotomic fields of conductor pq

Eleni Agathocleous

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p. 257-277

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Solving linear systems of equations over integers with Gröbner bases

Amir Hashemi

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p. 261-270

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Euclidean quadratic forms and ADC forms II: integral forms

Pete L. Clark ; William C. Jagy

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p. 265-308

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Counting rational points on del Pezzo surfaces with a conic bundle structure

Tim Browning ; Michael Swarbrick Jones

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p. 271-298

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

Peter Bundschuh ; Keijo Väänänen

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p. 273-288

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Combinatorial Nullstellensatz approach to polynomial expansion

Fedor Petrov

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p. 279-282

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A note on minimal zero-sum sequences over ℤ

Papa A. Sissokho

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p. 279-288

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On the fundamental units of some cubic orders generated by units

Jun Ho Lee ; Stéphane R. Louboutin

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p. 283-299

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A Brun-Titchmarsh inequality for weighted sums over prime numbers

Jan Büthe

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p. 289-299

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On the range of Carmichael's universal-exponent function

Florian Luca ; Carl Pomerance

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p. 289-308

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Product sets cannot contain long arithmetic progressions

Dmitrii Zhelezov

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p. 299-307

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Well-rounded sublattices of planar lattices

Michael Baake ; Rudolf Scharlau ; Peter Zeiner

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p. 301-334

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Coefficients of a relative of cyclotomic polynomials

Ricky Ini Liu

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p. 301-325

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Generalised Weber functions

Andreas Enge ; François Morain

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p. 309-341

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Nonvanishing of automorphic L-functions at special points

Zhao Xu

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p. 309-335

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Waring's number for large subgroups of ℤ*ₚ*

Todd Cochrane ; Derrick Hart ; Christopher Pinner ; Craig Spencer

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p. 309-325

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On the equation a³ + b³ⁿ = c²

Michael A. Bennett ; Imin Chen ; Sander R. Dahmen ; Soroosh Yazdani

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p. 327-343

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On the convergence to 0 of mₙξmod 1

Bassam Fayad ; Jean-Paul Thouvenot

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p. 327-332

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On limit points of subsequences of uniformly distributed sequences

Ladislav Mišík

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p. 333-338

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Wild primes of a self-equivalence of a number field

Alfred Czogała ; Beata Rothkegel

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p. 335-348

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A functional relation for Tornheim's double zeta functions

Kazuhiro Onodera

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p. 337-354

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Greatest prime divisors of polynomial values over function fields

Alexei Entin

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p. 339-349

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An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type

Keisuke Arai

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p. 343-353

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Low-discrepancy point sets for non-uniform measures

Christoph Aistleitner ; Josef Dick

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p. 345-369

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On large values of the Riemann zeta-function on short segments of the critical line

Maxim A. Korolev

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p. 349-390

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Optimal curves differing by a 5-isogeny

Dongho Byeon ; Taekyung Kim

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p. 351-359

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A generalization of Dirichlet's unit theorem

Paul Fili ; Zachary Miner

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p. 355-368

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Quantitative analysis of the Satake parameters of GL₂ representations with prescribed local representations

Yuk-Kam Lau ; Charles Li ; Yingnan Wang

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p. 355-379

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Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups

David B. Penman ; Matthew D. Wells

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p. 361-383

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Exceptional sets in Waring's problem: two squares and s biquadrates

Lilu Zhao

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p. 369-379

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Another look at real quadratic fields of relative class number 1

Debopam Chakraborty ; Anupam Saikia

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p. 371-377

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Rademacher-Carlitz polynomials

Matthias Beck ; Florian Kohl

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p. 379-393

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

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

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p. 381-392

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Class numbers of totally real fields and applications to the Weber class number problem

John C. Miller

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p. 381-397

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Bounds on sup-norms of half-integral weight modular forms

Eren Mehmet Kıral

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p. 385-399

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Ternary quadratic forms ax² + by² + cz² representing all positive integers 8k + 4

Kenneth S. Williams

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p. 391-396

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Root separation for reducible integer polynomials

Yann Bugeaud ; Andrej Dujella

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p. 393-403

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On q-orders in primitive modular groups

Jacek Pomykała

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p. 397-404

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Computations of Galois representations associated to modular forms of level one

Peng Tian

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p. 399-411

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