bwmeta1.element.bwnjournal-journal-aa, Tome 108 (2003)

Sommaire

Unique representation bases for the integers

Melvyn B. Nathanson

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p. 1-8

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On a Brun-Titchmarsh inequality for multiplicative functions

Gennady Bachman

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p. 1-25

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Almost squares in arithmetic progression (II)

Anirban Mukhopadhyay ; T. N. Shorey

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p. 1-14

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On primitive lattice points in planar domains

Wenguang Zhai

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p. 1-26

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A sum analogous to Dedekind sums and its hybrid mean value formula

Wenpeng Zhang

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p. 1-8

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Lattice points in bodies with algebraic boundary

Wolfgang Müller

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p. 9-24

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Perfect powers in linear recurring sequences

Clemens Fuchs ; Robert F. Tichy

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p. 9-25

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Some families of non-congruent numbers

Franz Lemmermeyer

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p. 15-36

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Parametrization of low-degree points on a Fermat curve

Pavlos Tzermias

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p. 25-35

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Capitulation des 2-classes d'idéaux de Q(√2,√d) où d est un entier naturel sans facteurs carrés

Abdelmalek Azizi ; Ali Mouhib

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p. 27-63

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A third derivative test for mean values of exponential sums with application to lattice point problems

O. Robert ; P. Sargos

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p. 27-39

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Cohomology sets inside arithmetic groups

Stefan Kühnlein

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p. 27-33

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Additive relations with conjugate algebraic numbers

Artūras Dubickas

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p. 35-43

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A note on the existence of certain infinite families of imaginary quadratic fields

Iwao Kimura

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p. 37-43

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Sparse polynomial exponential sums

Todd Cochrane ; Christopher Pinner ; Jason Rosenhouse

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p. 37-52

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On exponential sums with multiplicative coefficients, II

Gennady Bachman

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p. 41-57

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On multiple Hurwitz zeta-function values at rational arguments

S. Kanemitsu ; Y. Tanigawa ; M. Yoshimoto

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p. 45-67

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The universality theorem for Hecke L-functions

Hidehiko Mishou

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p. 45-71

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Note on a variant of the Erdős-Ginzburg-Ziv problem

Chao Wang

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p. 53-59

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Laurent coefficients of the zeta function of an indefinite quadratic form

Makoto Ishibashi

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p. 59-71

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On the correlation of the truncated Liouville function

Hédi Daboussi ; András Sárközy

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p. 61-76

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A generalization of a second irreducibility theorem of I. Schur

Martha Allen ; Michael Filaseta

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p. 65-79

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Generalized Dedekind sums, correlation of L-series, and the Galois module of cot(π/N)cot(mπ/N)

Kurt Girstmair

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p. 69-89

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The Diophantine equation xⁿ = Dy² + 1

J. H. E. Cohn

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p. 73-83

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A remark on the Piatetski-Shapiro-Vinogradov theorem

Yingchun Cai

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p. 73-75

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Kummer theory of abelian varieties and reductions of Mordell-Weil groups

Tom Weston

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p. 77-88

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On power residues

A. Schinzel ; M. Skałba

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p. 77-94

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Arithmetic properties of members of a binary recurrent sequence

Florian Luca

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p. 81-107

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Yokoi's conjecture

András Biró

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p. 85-104

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Mahler's classification of numbers compared with Koksma's

Yann Bugeaud

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p. 89-105

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On the relative class number of cyclotomic function fields

Hwanyup Jung ; Jaehyun Ahn

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p. 91-101

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On square values of quadratics

Andrew Bremner

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p. 95-111

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Multivariate Diophantine equations with many solutions

J.-H. Evertse ; P. Moree ; C. L. Stewart ; R. Tijdeman

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p. 103-125

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The terms

C x^{h} (h \geq 3)

in Lucas sequences: an algorithm and applications to diophantine equations

Paulo Ribenboim

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p. 105-114

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A generalization of Proth's theorem

Pedro Berrizbeitia ; T. G. Berry ; Juan Tena-Ayuso

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p. 107-115

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Dedekind cotangent sums

Matthias Beck

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p. 109-130

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On the vanishing of Iwasawa invariants of geometric cyclotomic ℤₚ-extensions

Akira Aiba

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p. 113-122

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On polynomials taking small values at integral arguments II

Roberto Dvornicich ; Shih Ping Tung ; Umberto Zannier

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p. 115-121

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On vector-valued modular forms and their Fourier coefficients

Marvin Knopp ; Geoffrey Mason

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p. 117-124

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Blocks and progressions in subset sum sets

Vsevolod F. Lev

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p. 123-142

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On certain congruences for Fourier coefficients of classical cusp forms

Tsuneo Ishikawa

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p. 123-126

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Pairs of cubic forms in many variables

Rainer Dietmann ; Trevor D. Wooley

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p. 125-140

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The difficulty of the local solubility problem for additive equations

Trevor D. Wooley

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p. 127-156

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Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals

T. Pezda

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p. 127-146

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Rang de familles de courbes elliptiques

Odile Lecacheux

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p. 131-142

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On the order of unimodular matrices modulo integers

Pär Kurlberg

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p. 141-151

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Primes in short arithmetic progressions

Jan-Christoph Puchta

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p. 143-149

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On the Diophantine equation

x^{2} + 7 = y^{m}

Samir Siksek ; John E. Cremona

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p. 143-149

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Anisotropic forms modulo p²

Lekbir Chakri ; El Mostafa Hanine

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p. 147-151

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Metric properties of alternating Oppenheim expansions

János Galambos ; Imre Kátai ; Min-Young Lee

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p. 151-158

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Quadratic fields with infinite Hilbert 2-class field towers

Frank Gerth III

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p. 151-158

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An application of a lower bound for linear forms in two logarithms to the Terai-Jeśmanowicz conjecture

Zhenfu Cao ; Xiaolei Dong

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p. 153-164

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Une propriété arithmétique des bases additives. Un critère de non-base

François Hennecart

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p. 153-166

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A congruence for the coefficients in a series for π

Scott Ahlgren

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p. 157-160

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On the solutions of certain diagonal quadratic equations and Lang's conjecture

Hizuru Yamagishi

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p. 159-168

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Théorème de Pólya en caractéristique finie

Laurence Delamette

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p. 159-170

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On Hurwitzian and Tasoev's continued fractions

Takao Komatsu

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p. 161-177

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On irregularities in the graph of generalized divisor functions

Gergely Zábrádi

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p. 165-171

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Improved upper bounds for the star discrepancy of digital nets in dimension 3

Friedrich Pillichshammer

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p. 167-189

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On Linnik's approximation to Goldbach's problem, I

J. Pintz ; I. Z. Ruzsa

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p. 169-194

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An infinite family of totally real number fields

Humio Ichimura ; Fuminori Kawamoto

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p. 171-181

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On some developments of the Erdős-Ginzburg-Ziv Theorem II

Arie Bialostocki ; Paul Dierker ; David Grynkiewicz ; Mark Lotspeich

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p. 173-184

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Chowla's conjecture

András Biró

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p. 179-194

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Sets of parts such that the partition function is even

Ben Saïd ; J.-N. Nicolas

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p. 183-196

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On the Diophantine equation F(x)=G(y)

Sz. Tengely

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p. 185-200

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Extremely non-normal continued fractions

L. Olsen

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p. 191-202

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Upper bounds for the density of universality

Jörn Steuding

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p. 195-202

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Sums of twelve squares

James G. Huard ; Kenneth S. Williams

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p. 195-204

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Effective polynomial upper bounds to perigees and numbers of (3x+d)-cycles of a given oddlength

Edward G. Belaga

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p. 197-206

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Erratum to "Cohomology sets inside arithmetic groups" (Acta Arith. 107 (2003), 27-33)

Stefan Kühnlein

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p. 201

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Dedekind sums with characters and class numbers of imaginary quadratic fields

Kaori Ota

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p. 203-215

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Visibility of lattice points

Yong-Gao Chen ; Lin-Feng Cheng

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p. 203-207

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Corrigendum to the paper: "Linear relations between roots of polynomials" (Acta Arith. 89 (1999), 53-96)

Kurt Girstmair

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p. 203

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On metric Diophantine approximation in positive characteristic

Kae Inoue ; Hitoshi Nakada

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p. 205-218

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The diophantine equation

x^{2} + C = y^{n}

, II

J. H. E. Cohn

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p. 205-206

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Sur les modules d'Iwasawa des ℤₚ*/{±1}-extensions

Marc Perret ; Nicolas Saby

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p. 207-217

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On subset sums of a fixed set

Yong-Gao Chen

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p. 207-211

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Additive inhomogeneous Diophantine inequalities

D. Eric Freeman

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p. 209-244

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Bounds for the degrees of CM-fields of class number one

Sofiène Bessassi

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p. 213-245

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On Hecke L-functions associated with cusp forms

A. Sankaranarayanan

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p. 217-234

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An analog of van der Corput's A⁴-process for exponential sums

Patrick Sargos

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p. 219-231

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Corps engendré par les points de 13-torsion des courbes elliptiques

Marusia Rebolledo Hochart

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p. 219-230

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Indivisibility of special values of Dedekind zeta functions of real quadratic fields

Dongho Byeon

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p. 231-235

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On non-intersecting arithmetic progressions

Ernest S. Croot III

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p. 233-238

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Multiplier systems

Paul C. Pasles

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p. 235-243

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Bounds for the 3x+1 problem using difference inequalities

Ilia Krasikov ; Jeffrey C. Lagarias

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p. 237-258

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The integral mean of the sum-of-digits function of the Ostrowski expansion

Luís Roçadas

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p. 239-258

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Some applications of Bombieri's estimate for exponential sums

Wenpeng Zhang ; Yuan Yi

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p. 245-250

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On vertical zeros of ℜ ζ(s) and ℑ ζ(s)

M. Z. Garaev

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p. 245-251

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Limit shape of Jarník's polygonal curve is a circle

Joviša Žunić

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p. 247-253

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Bounds for the smallest integer point of a rational curve

Dimitrios Poulakis

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p. 251-268

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On the distribution of squares of integral Cayley numbers

G. Kuba

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p. 253-265

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Distribution of the traces of Frobenius on elliptic curves over function fields

Amílcar Pacheco

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p. 255-263

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The jumping champions of the Farey series

Cristian Cobeli ; Kevin Ford ; Alexandru Zaharescu

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p. 259-274

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Unique range sets and uniqueness polynomials in positive characteristic

Ta Thi Hoai An ; Julie Tzu-Yueh Wang ; Pit-Mann Wong

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p. 259-280

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On the counting function for the Niven numbers

Jean-Marie De Koninck ; Nicolas Doyon ; Imre Kátai

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p. 265-275

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Greither's maximal independent system of units in global function fields

Jaehyun Ahn ; Hwanyup Jung

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p. 267-274

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Asymptotic expansions of certain q-series and a formula of Ramanujan for specific values of the Riemann zeta function

Masanori Katsurada

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p. 269-298

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On the upper bound for π₂(x)

Yingchun Cai ; Minggao Lu

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p. 275-298

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Counting rational points on cubic and quartic surfaces

T. D. Browning

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p. 275-295

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Almost periodicity of some error terms in prime number theory

Jerzy Kaczorowski ; Olivier Ramaré

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p. 277-297

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On cluster primes

Christian Elsholtz

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p. 281-284

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On a family of cubic Thue equations with 5 solutions

Isao Wakabayashi

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p. 285-298

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On the Waring-Goldbach problem with small non-integer exponent

M. Z. Garaev

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p. 297-302

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Subrings in imaginary quadratic fields which are not universal for GE₂

Sheng Chen ; Hong You

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p. 299-305

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Zones of large and small values for Dedekind sums

Kurt Girstmair

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p. 299-308

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Explicit lower bounds for

{| | (3 / 2)}^{k} | |

Laurent Habsieger

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p. 299-309

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On additive properties of two special sequences

Y. G. Chen ; Bin Wang

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p. 299-303

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Relations among certain number knots

Kuniaki Horie ; Mitsuko Horie

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p. 303-313

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An inductive method for proving the transcendence of certain series

Daniel Duverney ; Kumiko Nishioka

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p. 305-330

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A hybrid of theorems of Goldbach and Piatetski-Shapiro

Hongze Li

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p. 307-326

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Twisted modular forms and parabolic cohomology

Min Ho Lee

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p. 309-319

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Diophantine approximations related to rational values of G-functions

Makoto Nagata

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p. 311-344

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Estimation of some exponential sums containing the fractional part function and some other "non-standard" exponential sums

Grigori Kolesnik

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p. 315-326

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Module structure of rings of integers in octahedral extensions

M. Godin ; B. Sodaïgui

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p. 321-327

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Sur les équations

x^{p} + 2^{β} y^{p} = z^{2}

x^{p} + 2^{β} y^{p} = 2 z^{2}

Wilfrid Ivorra

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p. 327-338

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On the 3-class field tower of some biquadratic fields

Eiji Yoshida

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p. 327-336

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On the divisor problem: Moments of Δ(x) over short intervals

Werner Georg Nowak

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p. 329-341

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Parametrizing SL₂(ℤ) and a question of Skolem

Umberto Zannier

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p. 331-337

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The arithmetic of the coefficients of half-integral weight Eisenstein series

Antal Balog ; William J. McGraw ; Ken Ono

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p. 337-344

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Families of elliptic curves of high rank with nontrivial torsion group over ℚ

Leopoldo Kulesz

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p. 339-356

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On the diophantine equation x(x-1)...(x-(m-1)) = λy(y-1 )...(y-(n-1)) + l

Csaba Rakaczki

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p. 339-360

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On a problem of R. C. Baker

R. Nair

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p. 343-348

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A conjecture concerning the exponential diophantine equation

a^{x} + b^{y} = c^{z}

Maohua Le

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p. 345-353

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The Oppenheim series expansions and Hausdorff dimensions

Jun Wu

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p. 345-355

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On an asymptotic formula of Srinivasa Ramanujan

K. Ramachandra ; A. Sankaranarayanan

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p. 349-357

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Generalizations of Dedekind sums and their reciprocity laws

Yumiko Nagasaka ; Kaori Ota ; Chizuru Sekine

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p. 355-378

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On some arithmetic properties of polynomial expressions involving Stirling numbers of the second kind

Martin Klazar ; Florian Luca

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p. 357-372

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Greenberg’s conjecture for

ℤ_{p}^{d}

-extensions

Andrea Bandini

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p. 357-368

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Primitive free quartics with specified norm and trace

Stephen D. Cohen ; Sophie Huczynska

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p. 359-385

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Divisibility properties of generalized Vandermonde determinants

Stanisław Spież ; Jerzy Urbanowicz ; Paul van Wamelen

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p. 361-379

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On simultaneous diophantine equations

Shin-ichi Katayama ; Claude Levesque

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p. 369-377

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A remark on real radical extensions

C. U. Jensen

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p. 373-379

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Simultaneous Diophantine approximation and asymptotic formulae on manifolds

Glyn Harman

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p. 379-389

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Sums of distances to the nearest integer and the discrepancy of digital nets

G. Larcher ; F. Pillichshammer

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p. 379-408

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Septic analogues of the Rogers-Ramanujan functions

Heekyoung Hahn

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p. 381-399

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Polynomials dividing infinitely many quadrinomials or quintinomials

L. Hajdu ; R. Tijdeman

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p. 381-404

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Average multiplicative orders of elements modulo n

Florian Luca ; Igor E. Shparlinski

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p. 387-411

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Zeta function and Zharkovskaya's theorem on Siegel modular forms of half-integral weight

Shuichi Hayashida

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p. 391-399

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Familles de polynômes liées aux courbes modulaires X₁(l) unicursales et points rationnels non-triviaux de courbes elliptiques quotient

Franck Leprévost ; Michael Pohst ; Andreas Schöpp

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p. 401-410

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