bwmeta1.element.bwnjournal-journal-aa, Tome 89 (1999)

Sommaire

Sommes sans grand facteur premier

R. de la Bretèche

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p. 1-14

The Polish Digital Mathematics Library

On the number of coprime integer pairs within a circle

Wenguang Zhai ; Xiaodong Cao

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p. 1-16

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On the Barban-Davenport-Halberstam theorem: XI

C. Hooley

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p. 1-41

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Prime producing polynomials: Proof of a conjecture by Mollin and Williams

Anitha Srinivasan

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p. 1-7

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Uniform distribution of primes having a prescribed primitive root

Pieter Moree

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p. 9-21

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A generalisation of Mahler measure and its application in algebraic dynamical systems

Manfred Einsiedler

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p. 15-29

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Applications of a lower bound for linear forms in two logarithms to exponential Diophantine equations

Nobuhiro Terai

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p. 17-35

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On certain continued fraction expansions of fixed period length

A. J. van der Poorten ; H. C. Williams

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p. 23-35

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Products of shifted primes: Multiplicative analogues of Goldbach's problem

P. D. T. A. Elliott

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p. 31-50

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Solutions of cubic equations in quadratic fields

K. Chakraborty ; Manisha V. Kulkarni

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p. 37-43

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Inhomogeneous diophantine approximation on polynomials in

ℚ_{p}

V. Bernik ; H. Dickinson ; J. Yuan

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p. 37-48

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Three two-dimensional Weyl steps in the circle problem I. The Hessian determinant

Ulrike M. A. Vorhauer ; Eduard Wirsing

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p. 43-55

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The number of solutions of linear equations in roots of unity

Jan-Hendrik Evertse

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p. 45-51

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Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions

Soon-Yi Kang

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p. 49-68

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Certain L-functions at s = 1/2

Shin-ichiro Mizumoto

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p. 51-66

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Linear relations between roots of polynomials

Kurt Girstmair

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p. 53-96

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Three two-dimensional Weyl steps in the circle problem II. The logarithmic Riesz mean for a class of arithmetic functions

Ulrike M. A. Vorhauer

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p. 57-73

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Arithmetic progressions of prime-almost-prime twins

D. I. Tolev

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p. 67-98

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On the average number of direct factors of finite abelian groups (II)

Wenguang Zhai

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p. 69-78

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Periodic sequences of pseudoprimes connected with Carmichael numbers and the least period of the function

l_{x}^{C}

A. Rotkiewicz

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p. 75-83

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Rapidly convergent series representations for ζ(2n+1) and their χ-analogue

Masanori Katsurada

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p. 79-89

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A note on the Diophantine equation

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

Zhenfu Cao

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p. 85-93

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On the p-adic Waring's problem

José Felipe Voloch

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p. 91-95

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Hadamard products of certain power series

Habib Sharif

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p. 95-105

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On approximation of real numbers by real algebraic numbers

V. Beresnevich

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p. 97-112

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On the number of good approximations of algebraic numbers by algebraic numbers of bounded degree

Helmut Locher

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p. 97-122

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On the discrepancy estimate of normal numbers

M. B. Levin

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p. 99-111

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On a problem of Alfréd Rényi

Pelegrí Viader ; Lluís Bibiloni ; Jaume Paradís

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p. 107-115

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On divisors whose sum is a square

Wolfgang Jenkner

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p. 113-120

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Mesures d'approximation de valeurs de fonctions analytiques

Patrice Philippon

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p. 113-127

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On the quotient sequence of sequences of integers

Rudolf Ahlswede ; Levon H. Khachatrian ; András Sárközy

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p. 117-132

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Classes of polynomials having only one non-cyclotomic irreducible factor

A. Borisov ; M. Filaseta ; T. Y. Lam ; O. Trifonov

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p. 121-153

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Hankel determinants for the Fibonacci word and Padé approximation

Teturo Kamae ; Jun-ichi Tamura ; Zhi-Ying Wen

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p. 123-161

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Trigonal modular curves

Yuji Hasegawa ; Mahoro Shimura

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p. 129-140

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Some families of finite groups and their rings of invariants

Stefan Kühnlein

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p. 133-146

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Distribution des polynômes irréductibles dans

_{q} [T]

Mireille Car

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p. 141-153

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Effective solution of families of Thue equations containing several parameters

Clemens Heuberger ; Robert F. Tichy

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p. 147-163

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Exponential sums for symplectic groups and their applications

Dae San Kim

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p. 155-171

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Nonanalytic automorphic integrals on the Hecke groups

Paul C. Pasles

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p. 155-171

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Numbers with a large prime factor

Hong-Quan Liu ; Jie Wu

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p. 163-187

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The Stickelberger element of an imaginary quadratic field

Peter Schmid

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p. 165-169

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On elliptic curves in characteristic 2 with wild additive reduction

Andreas Schweizer

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p. 171-180

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The number of solutions of the Mordell equation

Dimitrios Poulakis

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p. 173-179

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Elliptic curves with non-trivial 2-adic Iwasawa μ-invariant

Kenneth Kramer

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p. 173-182

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A family of elliptic ℚ-curves defined over biquadratic fields and their modularity

Takeshi Hibino ; Atsuki Umegaki

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p. 181-190

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Quadratic function fields whose class numbers are not divisible by three

Humio Ichimura

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p. 181-190

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On the height constant for curves of genus two

Michael Stoll

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p. 183-201

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The set of solutions of a polynomial-exponential equation

Scott Ahlgren

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p. 189-207

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Conditions under which

K ₂ (_{F})

is not generated by Dennis-Stein symbols

Kevin Hutchinson

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p. 189-199

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Continuous functions on compact subsets of local fields

Manjul Bhargava ; Kiran S. Kedlaya

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p. 191-198

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Corps de nombres engendrés par un nombre de Salem

Franck Lalande

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p. 191-200

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The determinant of the Laplacian on the n-sphere

H. Kumagai

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p. 199-208

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Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey

Yann Bugeaud ; Jean-Pierre Conze

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p. 201-218

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Construction of the real dihedral number fields of degree 2p. Applications

Stéphane Louboutin ; Young-Ho Park ; Yann Lefeuvre

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p. 201-215

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Pairs of additive forms and Artin's conjecture

H. Godinho ; C. Ripoll

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p. 203-216

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Trajectories of rotations

Pierre Arnoux ; Sébastien Ferenczi ; Pascal Hubert

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p. 209-217

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On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis

A. E. Özlük ; C. Snyder

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p. 209-228

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On a positivity property of the Riemann ξ-function

Jeffrey C. Lagarias

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p. 217-234

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Numbers representable by five prime squares with primes in an arithmetic progression

Yonghui Wang

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p. 217-244

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The orders of the reductions of a point in the Mordell-Weil group of an elliptic curve

J. Cheon ; S. Hahn

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p. 219-111

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On the Iwasawa λ-invariants of quaternion extensions

Keiichi Komatsu

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p. 219-221

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Averages of short exponential sums

Alexandru Zaharescu

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p. 223-231

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On two-primary algebraic K-theory of quadratic number rings with focus on K₂

Marius Crainic ; Paul Arne Østvær

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p. 223-243

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A characterization of some additive arithmetical functions, III

Jean-Loup Mauclaire

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p. 229-232

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On additive bases

W. Gao ; Y. O. Hamidoune

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p. 233-237

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On sums and differences of two coprime kth powers

Wenguang Zhai

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p. 233-248

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Effective version of Tartakowsky's Theorem

J. S. Hsia ; M. I. Icaza

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p. 235-253

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Concordant sequences and integral-valued entire functions

Jonathan Pila ; Fernando Rodriguez Villegas

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p. 239-268

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A note on the generalized 3n+1 problem

Manuel V. P. Garcia ; Fabio A. Tal

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p. 245-250

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On characters of order p (mod p²)

Leo Murata

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p. 245-253

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Pure and mixed exponential sums

Todd Cochrane ; Zhiyong Zheng

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p. 249-278

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Continued fractions of Laurent series with partial quotients from a given set

Alan G. B. Lauder

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p. 251-271

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Density of M-sets in arithmetic progression

Soma Gupta ; Amitabha Tripathi

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p. 255-257

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A uniform version of Jarník's theorem

Alain Plagne

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p. 255-267

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Strong arithmetic properties of the integral solutions of X³ + DY³ + D²Z³ - 3DXYZ = 1, where D = M³ ± 1, M ∈ ℤ*

Christian Ballot

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p. 259-277

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The Hasse Principle modulo nth powers

Victor Scharaschkin

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p. 269-285

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Almost hilbertian fields

Pierre Dèbes ; Dan Haran

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p. 269-287

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Reducibility of lacunary polynomials XII

A. Schinzel

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p. 273-289

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Integers without large prime factors in short intervals and arithmetic progressions

Glyn Harman

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p. 279-289

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On a question regarding visibility of lattice points, II

Sukumar Das Adhikari ; Yong-Gao Chen

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p. 279-282

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A metric result on the pair correlation of fractional parts of sequences

Zeév Rudnick ; Alexandru Zaharescu

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p. 283-293

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Errata to “The Dirichlet series of

ζ (s) ζ^{α} (s + 1) f (s + 1)

: On an error term associated with its coefficients” (Acta Arith. 75 (1996), 39-69)

U. Balakrishnan ; Y.-F. S. Pétermann

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p. 287-289

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On squares of squares

Andrew Bremner

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p. 289-297

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On limits of PV k-tuples

David Garth

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p. 291-299

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Factorisations explicites de g(y) - h(z)

Pierrette Cassou-Noguès ; Jean-Marc Couveignes

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p. 291-317

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The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, I

Wladimir de Azevedo Pribitkin

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p. 291-309

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A note on basic Iwasawa λ-invariants of imaginary quadratic fields and congruence of modular forms

Dongho Byeon

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p. 295-299

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Dirichlet character sums

Chunlei Liu

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p. 299-309

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Refinement of an estimate for the Hurwitz zeta function in a neighbourhood of the line σ = 1

Mieczysław Kulas

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p. 301-309

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On Chebyshev polynomials and maximal curves

Arnaldo Garcia ; Henning Stichtenoth

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p. 301-311

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A diophantine inequality involving prime powers

A. Kumchev

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p. 311-330

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Chen's theorem in short intervals

Ying Chun Cai ; Ming Gao Lu

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p. 311-323

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Thue equations with composite fields

Yuri Bilu ; Guillaume Hanrot

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p. 311-326

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The Lifted Root Number Conjecture for some cyclic extensions of ℚ

Jürgen Ritter ; Alfred Weiss

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p. 313-340

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On a generalization of the Selberg trace formula

A. Biró

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p. 319-338

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A remark on product of Dirichlet L-functions

Kirti Joshi ; C. S. Yogananda

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p. 325-327

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On smooth integers in short intervals under the Riemann Hypothesis

Ti Zuo Xuan

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p. 327-332

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Harmonic properties of the sum-of-digits function for complex bases

Peter J. Grabner ; Pierre Liardet

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p. 329-349

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On a variant of the Erdős-Ginzburg-Ziv problem

L. Gallardo ; G. Grekos ; J. Pihko

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p. 331-336

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On the number of irreducible polynomials with 0,1 coefficients

S. V. Konyagin

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p. 333-350

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p-adic logarithmic forms and group varieties II

Kunrui Yu

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p. 337-378

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Solving elliptic diophantine equations: the general cubic case

Roelof J. Stroeker ; Benjamin M. M. de Weger

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p. 339-365

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Quadratic factors of f(x) -g(y)

Yuri F. Bilu

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p. 341-355

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Weyl sequences: Asymptotic distributions of the partition lengths

Anatoly Zhigljavsky ; Iskander Aliev

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p. 351-361

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Notes on the Riemann zeta-function, II

K. Ramachandra ; A. Sankaranarayanan

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p. 351-365

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On a fundamental result in van der Corput's method of estimating exponential sums

Hong-Quan Liu

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p. 357-370

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On consecutive integers of the form ax², by² and cz²

Michael A. Bennett

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p. 363-370

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On finite pseudorandom binary sequences III: The Liouville function, I

Julien Cassaigne ; Sébastien Ferenczi ; Christian Mauduit ; Jöel Rivat ; András Sárközy

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p. 367-390

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A binomial representation of the 3x + 1 problem

Maurice Margenstern ; Yuri Matiyasevich

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p. 367-378

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Number of representations related to a linear recurrent basis

Jean Marie Dumont ; Nikita Sidorov ; Alain Thomas

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p. 371-396

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On the diameter of sets of almost powers

B. M. M. de Weger ; C. E. van de Woestijne

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p. 371-385

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On intervals containing full sets of conjugates of algebraic integers

Artūras Dubickas

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p. 379-386

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Index form equations in quintic fields

István Gaál ; Kálmán Győry

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p. 379-396

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On the power-free parts of consecutive integers

B. M. M. de Weger ; C. E. van de Woestijne

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p. 387-395

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Corrections to "Asymptotic behaviour of some infinite products involving prime numbers" (Acta Arith. 75 (1996), 339-350)

Hsien-Kuei Hwang

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p. 391

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Nonexistence of twentieth power residue difference sets

Ronald Evans

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p. 397-402

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Conspectus materiae tomorum LXXXI–XC (1997–1999)

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p. 397-416

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