bwmeta1.element.bwnjournal-journal-aa, Tome 100 (2001)

Sommaire

Cuspidal groups, ordinary Eisenstein series, and Kubota-Leopoldt p-adic L-functions

Marc Nirenberg

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p. 1-40

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Note on a theorem of Rockett and Szusz on a diophantine equation x² - dy² = N

Ryuta Hashimoto

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p. 1-13

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À propos de la conjecture de Lang sur la minoration de la hauteur de Néron-Tate pour les courbes elliptiques sur ℚ

Mohamed Krir

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p. 1-16

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Upper bounds for the coefficients of irreducible integer polynomials in several variables

Francesco Amoroso ; Maurice Mignotte

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p. 1-12

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Almost perfect powers in consecutive integers

G. Hanrot ; N. Saradha ; T. N. Shorey

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p. 13-25

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Finiteness theorems for torsion of abelian varieties over large algebraic fields

Marcel Jacobson ; Moshe Jarden

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p. 15-31

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The joint distribution of q-additive functions

Michael Drmota

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p. 17-39

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Equations in one variable over function fields

Enrico Bombieri ; Julia Mueller ; Umberto Zannier

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p. 27-39

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Units and norm residue symbol

Bruno Angles

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p. 33-51

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On the coefficients of the Taylor expansion of the Dirichlet L-function at s = 1

Hideaki Ishikawa

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p. 41-52

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Restricted sums of subsets of ℤ

Zhi-Wei Sun

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p. 41-60

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On Terai's conjecture concerning Pythagorean numbers

Maohua Le

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p. 41-45

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Squares in Lehmer sequences and some Diophantine applications

Florian Luca ; P. G. Walsh

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p. 47-62

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Ω_{\pm}

-results of the error term in the mean square formula of the Riemann zeta-function in the critical strip

Yuk-Kam Lau ; Kai-Man Tsang

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p. 53-69

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On a problem of Diophantus

Katalin Gyarmati

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p. 53-65

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On quadratic character twists of Hecke L-functions attached to cusp forms of varying weights at the central point

W. Kohnen ; J. Sengupta

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p. 61-66

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Sur les points périodiques des applications rationnelles en dynamique ultramétrique

J.-P. Bézivin

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p. 63-74

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Exponential sums for O¯(2n,q) and their applications

Dae San Kim

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p. 67-86

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On power residue characters of units and the representation of numbers by quadratic forms

Giorgos Siligardos

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p. 67-77

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On an equation in cyclotomic numbers

Roberto Dvornicich

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p. 71-94

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Multiplicative functions with difference tending to zero

Eduard Wirsing ; Don Zagier

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p. 75-78

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Hausdorff dimensions in Engel expansions

Yan-Yan Liu ; Jun Wu

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p. 79-83

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Normal integral bases for infinite abelian extensions

Patrik Lundström

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p. 79-83

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Constructions of plane curves with many points

F. Rodríguez Villegas ; J. F. Voloch ; D. Zagier

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p. 85-96

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On the second moment for primes in an arithmetic progression

D. A. Goldston ; C. Y. Yıldırım

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p. 85-104

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Products of binomial coefficients modulo p²

Zhi-Wei Sun

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p. 87-98

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On the greatest common divisor of two univariate polynomials, II

A. Schinzel

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p. 95-106

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Corrections to "Irreducibility of the iterates of a quadratic polynomial over a field" (Acta Arith. 93 (2000), 87-97)

Mohamed Ayad ; Donald L. McQuillan

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p. 97

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On the constant factor in Vinogradov's Mean Value Theorem

Géza Kós

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p. 99-101

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On unit fractions with denominators in short intervals

Ernest S. Croot III

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p. 99-114

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Evaluations of the Rogers-Ramanujan continued fraction R(q) by modular equations

Jinhee Yi

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p. 103-127

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Algebraic integers as values of elliptic functions

Daeyeoul Kim ; Ja Kyung Koo

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p. 105-116

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Analytic continuation of multiple zeta-functions and their values at non-positive integers

Shigeki Akiyama ; Shigeki Egami ; Yoshio Tanigawa

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p. 107-116

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On some conjectures and results for the Riemann zeta-function and Hecke series

Aleksandar Ivić

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p. 115-145

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Integers free of prime divisors from an interval, I

Andreas Weingartner

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p. 117-131

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The distribution of real-valued Q-additive functions modulo 1

Abigail Hoit

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p. 117-133

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Cyclotomic matrices and a limit formula for hₚ¯

Kurt Girstmair

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p. 129-155

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Brauer-Kuroda relations for S-class numbers

Bart de Smit

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p. 133-146

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The Tate conjecture for certain abelian varieties over finite fields

J. S. Milne

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p. 135-166

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Petits zéros de fonctions L de formes modulaires

E. Royer

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p. 147-172

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On Waring's problem with polynomial summands II: Addendum

Hong Bing Yu

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p. 147-150

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The resolution of the diophantine equation x(x+d)...(x+(k-1)d) = by² for fixed d

P. Filakovszky ; L. Hajdu

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p. 151-154

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The number of (2,3)-sum-free subsets of {1,...,n}

Tomasz Schoen

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p. 155-163

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On an asymptotic formula of Ramanujan for a certain theta-type series

Masanori Katsurada

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p. 157-172

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Plane maximal curves

Angela Aguglia ; Gábor Korchmáros ; Fernando Torres

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p. 165-179

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Orbits under algebraic groups and logarithms of algebraic numbers

Stéphane Fischler

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p. 167-187

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Duality for digital nets and its applications

Harald Niederreiter ; Gottlieb Pirsic

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p. 173-182

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Additive functions with respect to expansions over the set of Gaussian integers

I. Kátai ; P. Liardet

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p. 173-182

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A construction of curves over finite fields

Arnaldo Garcia ; Luciane Quoos

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p. 181-195

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Integers not of the form

c (2^{a} + 2^{b}) + p^{α}

Zhi-Wei Sun ; Mao-Hua Le

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p. 183-190

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An arithmetic criterion for the values of the exponential function

Damien Roy

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p. 183-194

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On the distribution of inverses modulo p (II)

Wenpeng Zhang

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p. 189-194

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On sums of two kth powers: a mean-square asymptotics over short intervals

Manfred Kühleitner ; Werner Georg Nowak

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p. 191-203

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Certain classes of rapidly convergent series representations for L(2n,χ) and L(2n+1,χ)

H. M. Srivastava ; Hirofumi Tsumura

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p. 195-201

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Théorème des trois longueurs et suites sturmiennes: mots d'agencement des longueurs

Anne Siegel

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p. 195-210

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Covering collections and a challenge problem of Serre

E. Victor Flynn ; Joseph L. Wetherell

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p. 197-205

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Sur une majoration explicite pour un degré d'isogénie liant deux courbes elliptiques

Federico Pellarin

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p. 203-243

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A note on the diophantine equation a²x⁴ - By² = 1

Jianhua Chen

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p. 205-212

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Khinchin's theorem in k dimensions with prime numerator and denominator

Huw Jones

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p. 205-225

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Distribution of integers that are sums of three squares of primes

Jianya Liu ; Tao Zhan

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p. 207-228

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Estimates of character sums with exponential function

Hong Bing Yu

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p. 211-218

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A family of infinite pairs of quadratic fields ℚ(√D) and ℚ(√-D) whose class numbers are both divisible by 3

Toru Komatsu

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p. 213-221

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Meilleures approximations diophantiennes d’un élément du tore

^{d}

Nicolas Chevallier

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p. 219-240

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A note on the Diophantine equation

(a^{n} x^{m} \pm 1) / (a^{n} x \pm 1) = y^{n} + 1

Jiagui Luo

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p. 223-229

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Genus one curves defined by separated variable polynomials and a polynomial Pell equation

R. M. Avanzi ; U. M. Zannier

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p. 227-256

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On the limiting distribution of a generalized divisor problem for the case -1/2 < a < 0

Yuk-Kam Lau

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p. 229-236

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Determination of elliptic curves with everywhere good reduction over real quadratic fields ℚ(√(3p))

Takaaki Kagawa

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p. 231-245

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On the limiting distribution of a generalized divisor problem for the case -1 ≤ a < -1/2

Yuk-Kam Lau

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p. 237-244

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Sur les fractions continues des séries formelles quadratiques sur

_{q} (X)

Mohamed Mkaouar

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p. 241-251

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Approximate formulae for L(1,χ)

Olivier Ramaré

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p. 245-266

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Implementing 2-descent for Jacobians of hyperelliptic curves

Michael Stoll

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p. 245-277

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Racines d'unités cyclotomiques et divisibilité du nombre de classes d'un corps abélien réel

Cornelius Greither ; Saïd Hachami ; Radan Kučera

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p. 247-259

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Diophantine inequalities for the non-Archimedean line

_{q} ((1 / T))

Chih-Nung Hsu

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p. 253-267

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On series, integrals and continued fractions, III

K. Ramachandra

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p. 257-266

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Frequencies of factors in Arnoux-Rauzy sequences

Nathan Wozny ; Luca Q. Zamboni

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p. 261-278

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A generalization of a theorem of Minkowski

Marcin Mazur

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p. 267-276

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Additive representation in thin sequences, III: asymptotic formulae

J. Brüdern ; K. Kawada ; T. D. Wooley

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p. 267-289

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The group structure for ζ(3)

Georges Rhin ; Carlo Viola

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p. 269-293

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Kummer congruences for values of Bernoulli and Euler polynomials

Paul Thomas Young

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p. 277-288

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The inverse of the star-discrepancy depends linearly on the dimension

Stefan Heinrich ; Henryk Woźniakowski ; Grzegorz W. Wasilkowski ; Erich Novak

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p. 279-302

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Three problems for polynomials of small measure

Artūras Dubickas

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p. 279-292

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On squares of squares II

Andrew Bremner

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p. 289-308

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A note on class number 1 criteria for totally real algebraic number fields

Dongho Byeon

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p. 291-295

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Small prime solutions of linear ternary equations

Hongze Li

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p. 293-309

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Elements of order 4 of the Hilbert kernel in quadratic number fields

Qin Yue

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p. 295-311

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Sign changes in

π_{q, a} (x) - π_{q, b} (x)

Kevin Ford ; Richard H. Hudson

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p. 297-314

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An extension of the Lucas theorem

Jacques Boulanger ; J.-L. Chabert

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p. 303-312

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On the real roots of generalized Thue-Morse polynomials

Christophe Doche

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p. 309-319

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Corrigendum to "Norm residue symbol and cyclotomic units" (Acta Arith. 73 (1995), 147-188)

Charles Helou

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p. 311

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On some sums involving the largest prime divisor of n, II

E. J. Scourfield

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p. 313-343

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Diophantine equations and class numbers of real quadratic fields

Xiaolei Dong ; Zhenfu Cao

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p. 313-328

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Bounds for frequencies of class groups of real quadratic genus 1 function fields

Christian Friesen

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p. 313-331

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Algebraic independence of Fredholm series

Kumiko Nishioka

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p. 315-327

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On the distribution of the Fₚ-points on an affine curve in r dimensions

Cristian Cobeli ; Alexandru Zaharescu

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p. 321-329

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On the tails of the limiting distribution function of the error term in the Dirichlet divisor problem

Yuk-Kam Lau

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p. 329-337

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Sums of nonnegative multiplicative functions over integers without large prime factors I

Joung Min Song

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p. 329-351

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Primitive lattice points in a thin strip along the boundary of a large convex planar domain

Ekkehard Krätzel ; Werner Georg Nowak

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p. 331-341

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Jacobi forms over imaginary quadratic number fields

Howard Skogman

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p. 333-350

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Averages of short exponential sums, II

Alexandru Zaharescu

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p. 339-348

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On a generalization of the Maillet determinant II

Shigeru Kanemitsu ; Takako Kuzumaki

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p. 343-361

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The universality of zeta-functions attached to certain cusp forms

Antanas Laurinčikas ; Kohji Matsumoto

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p. 345-359

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Extensions of classical congruences for parameters in binary quadratic forms

Ronald Evans

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p. 349-364

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Le corps des séries de Puiseux généralisées

Bruno Deschamps

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p. 351-360

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Note on a paper by Joung Min Song

Gérald Tenenbaum

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p. 353-360

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Magic p-dimensional cubes

Marian Trenkler

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p. 361-364

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Septic theta function identities in Ramanujan's lost notebook

Seung Hwan Son

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p. 361-374

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Supplements to the theory of quartic residues

Zhi-Hong Sun

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p. 361-377

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Almost perfect powers in arithmetic progression

N. Saradha ; T. N. Shorey

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p. 363-388

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A note on Waring's problem in finite fields

Arne Winterhof

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p. 365-368

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The number of squares and

B_{h} [g]

sets

Ben Green

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p. 365-390

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The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes (II)

Hongze Li

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p. 369-379

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On a conjecture of E. Thomas concerning parametrized Thue equations

Clemens Heuberger

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p. 375-394

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On abelian varieties associated with elliptic curves with complex multiplication

Tetsuo Nakamura

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p. 379-385

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Quadratic minima and modular forms II

Barry Brent

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p. 381-387

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Iwasawa λ₃-invariants of certain cubic fields

Manabu Ozaki ; Gen Yamamoto

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p. 387-398

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Arithmetical properties of the values of functions satisfying certain functional equations of Poincaré

Masaaki Amou ; Masanori Katsurada ; Keijo Väänänen

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p. 389-407

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The (ABC) Conjecture and the radical index of integers

Paulo Ribenboim

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p. 389-404

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Correction of "Polynômes singuliers à plusieurs variables sur un corps fini et congruences modulo p²" (Acta Arith. 68 (1994), 1-10)

Lekbir Chakri ; El Mostafa Hanine

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p. 391-396

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The universality theorem for L-functions associated with ideal class characters

Hidehiko Mishou

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p. 395-410

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Corrigendum and addendum to the paper "Reducibility of quadrinomials" (Acta Arith. 21 (1972), 153-171)

M. Fried ; A. Schinzel

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p. 409-410

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