bwmeta1.element.bwnjournal-journal-aa, Tome 76 (1996)

Sommaire

On the additive complements of the primes and sets of similar growth

Mihail N. Kolountzakis

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p. 1-8

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Limitation to the asymptotic formula in Waring's problem

W. K. A. Loh

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p. 1-15

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On the diophantine equation D₁x⁴ -D₂y² = 1

Maohua Le

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p. 1-9

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On a conjecture of R. L. Graham

R. Balasubramanian ; K. Soundararajan

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p. 1-38

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Maximal independent systems of units in global function fields

Fei Xu ; Jianqiang Zhao

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p. 1-10

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The covolume of quaternion groups on the four-dimensional hyperbolic space

Stefan Breulmann ; Volker Helmke

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p. 9-21

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Metric properties of some special p-adic series expansions

Arnold Knopfmacher ; John Knopfmacher

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p. 11-19

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A note on the number of solutions of the generalized Ramanujan-Nagell equation

x ² - D = k^{n}

Maohua Le

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p. 11-18

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Quadratic polynomials producing consecutive, distinct primes and class groups of complex quadratic fields

R. A. Mollin

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p. 17-30

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Meilleures approximations d'un élément du tore 𝕋² et géométrie de la suite des multiples de cet élément

Nicolas Chevallier

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p. 19-35

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Almost all short intervals containing prime numbers

Chaohua Jia

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p. 21-84

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On a permutation group related to ζ(2)

Georges Rhin ; Carlo Viola

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p. 23-56

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On the Shanks-Rényi race problem

Jerzy Kaczorowski

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p. 31-46

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Propriétés multiplicatives des valeurs de certains polynômes en deux variables

C. Dartyge

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p. 37-74

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The Dirichlet series of

ζ (s) ζ^{α} (s + 1) f (s + 1)

: On an error term associated with its coefficients

U. Balakrishnan ; Y.-F. S. Pétermann

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p. 39-69

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Distances dans la suite des multiples d'un point du tore à deux dimensions

Nicolas Chevallier

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p. 47-59

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Polars of Artin-Schreier curves

A. Hefez ; N. Kakuta

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p. 57-70

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On a form of the Erdős-Turán inequality

Jeffrey J. Holt

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p. 61-66

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Bounds for the solutions of unit equations

Yann Bugeaud ; Kálmán Győry

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p. 67-80

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On a direct sum decomposition of the Dem'yanenko matrix

Hirofumi Tsumura

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p. 71-76

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Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture

Keqin Feng

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p. 71-83

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Gauss sums for O⁺(2n,q)

Dae San Kim ; In-Sok Lee

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p. 75-89

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Convergents of folded continued fractions

Jean-Paul Allouche ; Anna Lubiw ; Michel Mendès France ; Alfred J. van der Poorten ; Jeffrey Shallit

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p. 77-96

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An effective lower bound for the height of algebraic numbers

Paul Voutier

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p. 81-95

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Distribution of lattice points on hyperbolic surfaces

Vsevolod F. Lev

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p. 85-95

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Complexité de suites engendrées par des récurrences unipotentes

Pierre Arnoux ; Christian Mauduit

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p. 85-97

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On the number-theoretic functions ν(n) and Ω(n)

Jiahai Kan

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p. 91-97

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Partitions with numbers in their gaps

Douglas Bowman

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p. 97-105

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On the pure Jacobi sums

Shigeki Akiyama

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p. 97-104

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On equal values of power sums

B. Brindza ; Á. Pintér

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p. 97-101

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Equations in roots of unity

Hans Peter Schlickewei

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p. 99-108

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Errata to the paper "Irrationality results for theta functions by Gel'fond-Schneider's method" (Acta Arith. 53 (1989), 289-307)

Peter Bundschuh ; and Michel Waldschmidt

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p. 99

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Euler's concordant forms

Ken Ono

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p. 101-123

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Sur les K-nombres de Pisot de petite mesure

Toufik Zaïmi

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p. 103-131

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On Tornheim's double series

James G. Huard ; Kenneth S. Williams ; Zhang Nan-Yue

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p. 105-117

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On cyclotomic ℤ ₚ-extensions of real quadratic fields

Hisao Taya

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p. 107-119

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A certain power series associatedwith a Beatty sequence

Takao Komatsu

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p. 109-129

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Problems and results on αp - βq

K. Ramachandra ; A. Sankaranarayanan ; K. Srinivas

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p. 119-131

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Corps quadratiques à corps de classes de Hilbert principaux et à multiplication complexe

Stéphane Louboutin

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p. 121-140

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The number of irreducible factors of a polynomial, II

Christopher G. Pinner ; Jeffrey D. Vaaler

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p. 125-142

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On Waring's problem with polynomial summands

Hong Bing Yu

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p. 131-144

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Corps quadratiques à corps de classes de Hilbert principaux et à multiplication complexe

Louboutin, Stéphane

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p. 131-140

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Arithmetic progressions of length three in subsets of a random set

Yoshiharu Kohayakawa ; Tomasz Łuczak ; Vojtěch Rödl

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p. 133-163

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Complete sequences of sets of integer powers

S. A. Burr ; P. Erdős ; R. L. Graham ; W. Wen-Ching Li

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p. 133-138

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Distribution of values of Euler's function over integers free of large prime factors

A. Smati ; J. Wu

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p. 139-155

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Sets of integers and quasi-integers with pairwise common divisor

Rudolf Ahlswede ; Levon H. Khachatrian

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p. 141-153

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On zero-free subset sums

Yahya Ould Hamidoune ; Gilles Zémor

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p. 143-152

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When are global units norms of units?

David Folk

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p. 145-147

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Minoration de discrépance en dimension deux

Henri Faure ; Henri Chaix

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p. 149-164

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Remarks on a question of Skolem about the integer solutions of x₁x₂ - x₃x₄ = 1

Umberto Zannier

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p. 153-164

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Evaluation of divisor functions of matrices

Gautami Bhowmik

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p. 155-159

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On a characterization of Shimura's elliptic curve over ℚ(√37)

Masanari Kida

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p. 157-171

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Sur la longueur de la fraction continue de αⁿ

Guillaume Grisel

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p. 161-176

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Effective Nullstellensatz and geometric degree for zero-dimensional ideals

A. Fabianom ; G. Pucci ; A. Yger

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p. 165-187

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Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations

N. Tzanakis

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p. 165-190

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On large Picard groups and the Hasse Principle for curves and K3 surfaces

Daniel Coray ; Constantin Manoil

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p. 165-189

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Irregularities in the distribution of primes in an arithmetic progression

Ti Zuo Xuan

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p. 173-177

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Algebraic independence of the values of power series generated by linear recurrences

Taka-Aki Tanaka

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p. 177-190

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Hyperelliptic modular curves X₀*(N) with square-free levels

Yuji Hasegawa ; Ki-ichiro Hashimoto

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p. 179-193

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The equation x+y=1 in finitely generated groups

F. Beukers ; H. P. Schlickewei

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p. 189-199

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Perfect powers in products of integers from a block of consecutive integers (II)

T. N. Shorey ; Yu. V. Nesterenko

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p. 191-198

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On addition of two distinct sets of integers

Yonutz Stanchescu

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p. 191-194

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Squarefree values of polynomials all of whose coefficients are 0 and 1

Michael Filaseta ; Sergei Konyagin

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p. 191-205

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On the distribution of primitive abundant numbers

Michael R. Avidon

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p. 195-205

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On character sums of rational functions over local fields

C. L. Liu

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p. 195-204

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Le plus grand facteur premier de n² + 1 où est presque premier

Cécile Dartyge

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p. 199-226

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Minimal multipliers for consecutive Fibonacci numbers

K. R. Matthews

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p. 205-218

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On the exceptional set of Goldbach numbers in a short interval

Chao Hua Jia

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p. 207-287

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A generalization of a problem of Chebyshev

Jürgen G. Hinz

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p. 207-230

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On a metrical theorem of W. Schmidt

V. Bernik

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p. 219-233

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On Dirichlet series and Hecke triangle groups of infinite volume

Marvin I. Knopp ; Mark Sheingorn

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p. 227-244

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Sums of squares of integral linear forms

María Inés Icaza

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p. 231-240

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Kummer type congruences and Stickelberger subideals

Takashi Agoh ; Ladislav Skula

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p. 235-250

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Arithmetic and geometry of the curve y³+1=x⁴

Matthew J. Klassen ; Edward F. Schaefer

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p. 241-257

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On the family of Thue equations x³ - (n-1)x²y - (n+2)xy² - y³ = k

M. Mignotte ; A. Pethő ; F. Lemmermeyer

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p. 245-269

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Solvability of 𝔭-adic diagonal equations

Christopher M. Skinner

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p. 251-258

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On a problem of Eisenstein

Peter Stevenhagen

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p. 259-268

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Sets of integers with pairwise common divisor and a factor from a specified set of primes

Rudolf Ahlswede ; Levon H. Khachatrian

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p. 259-276

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Sure monochromatic subset sums

Noga Alon ; Paul Erdős

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p. 269-272

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Primitive lattice points in convex planar domains

Martin N. Huxley ; Werner Georg Nowak

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p. 271-283

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Bounds for the solutions of Thue-Mahler equations and norm form equations

Yann Bugeaud ; Kálmán Győry

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p. 273-292

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The two parameter hyperbola problem

G. Kuba

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p. 277-285

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Développement en fraction continue à l'entier le plus proche, idéaux α-réduits et un problème d'Eisenstein

Pierre Kaplan ; Yoshio Mimura

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p. 285-304

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A note on the equation

a x^{n} - b y^{n} = c

Maurice Mignotte

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p. 287-295

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On representations of a number as a sum of three triangles

Michael D. Hirschhorn ; James A. Sellers

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p. 289-301

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Congruence of Ankeny-Artin-Chowla type modulo p² for cyclic fields of prime degree l

Stanislav Jakubec

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p. 293-310

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Symmetry and specializability in continued fractions

Henry Cohn

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p. 297-320

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The large sieve in Riemann surfaces

Fernando Chamizo

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p. 303-313

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On characterization of Dirichlet L-functions

Takeo Funakura

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p. 305-315

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Ergodic properties of generalized Lüroth series

Jose Barrionuevo ; Robert M. Burton ; Karma Dajani ; Cor Kraaikamp

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p. 311-327

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Some applications of large sieve in Riemann surfaces

Fernando Chamizo

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p. 315-337

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On limit distribution of the Riemann zeta-function

A. Laurinčikas ; G. Misevičius

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p. 317-334

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A proof of quintic reciprocity using the arithmetic of y² = x⁵ + 1/4

David Grant

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p. 321-337

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Unbounded stability of two-term recurrence sequences modulo

2^{k}

Walter Carlip ; Eliot Jacobson

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p. 329-346

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Fermat quotient of cyclotomic units

Tsutomu Shimada

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p. 335-358

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Asymptotic behaviour of some infinite products involvingprime numbers

Hsien-Kuei Hwang

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p. 339-350

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Méthodes de crible et fonctions sommes des chiffres

E. Fouvry ; C. Mauduit

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p. 339-351

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Sur une conjecture de Pohst

M. J. Bertin

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p. 347-349

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Farey series and the Riemann hypothesis

S. Kanemitsu ; M. Yoshimoto

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p. 351-374

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The mean square of the error term in a generalization of Dirichlet's divisor problem

Tom Meurman

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p. 351-364

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Sumsets of Sidon sets

Imre Z. Ruzsa

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p. 353-359

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On values of L-functions of totally real algebraic number fields at integers

Shigeaki Tsuyumine

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p. 359-392

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Five regular or nearly-regular ternary quadratic forms

William C. Jagy

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p. 361-367

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On the number of prime factors of integers of the form ab + 1

K. Győry ; A. Sárközy ; C. L. Stewart

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p. 365-385

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On sums of five almost equal prime squares

Jianya Liu ; Tao Zhan

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p. 369-383

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Algebraic integers of small discriminant

Jeffrey Lin Thunder ; John Wolfskill

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p. 375-382

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Explicit global function fields over the binary field with many rational places

Harald Niederreiter ; Chaoping Xing

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p. 383-396

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Explicit 4-descents on an elliptic curve

J. R. Merriman ; S. Siksek ; N. P. Smart

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p. 385-404

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Acknowledgement of priority

Umberto Zannier

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p. 387

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Acknowledgment of priority

D. R. Heath-Brown

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p. 405

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