bwmeta1.element.bwnjournal-journal-aa, Tome 84 (1998)

Sommaire

A bound for the discrepancy of digital nets and its application to the analysis of certain pseudo-random number generators

Gerhard Larcher

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p. 1-15

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Zero order estimates for functions satisfying generalized functional equations of Mahler type

Thomas Töpfer

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p. 1-12

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Convergence presque sûre de moyennes de sommes de Riemann

Jean-Jacques Ruch

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p. 1-12

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On the Matsumoto zeta-function

A. Laurinčikas

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p. 1-16

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On the distribution of rational points on certain Kummer surfaces

Atsushi Sato

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p. 1-16

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Bases for integer-valued polynomials in a Galois field

Vichian Laohakosol

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p. 13-26

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Sums of powers: an arithmetic refinement to the probabilistic model of Erdős and Rényi

Jean-Marc Deshouillers ; François Hennecart ; Bernard Landreau

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p. 13-33

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Factors of sums of powers of binomial coefficients

Neil J. Calkin

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p. 17-26

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On the average number of unitary factors of finite abelian groups

J. Wu

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p. 17-29

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On the Barban-Davenport-Halberstam theorem: IX

C. Hooley

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p. 17-30

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Sums of fifth powers and related topics

Koichi Kawada ; Trevor D. Wooley

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p. 27-65

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Squares in products with terms in an arithmetic progression

N. Saradha

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p. 27-43

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On cubic Thue inequalities and a result of Mahler

Jeffrey Lin Thunder

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p. 31-44

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On some arithmetical properties of middle binomial coefficients

Daniel Berend ; Jorgen E. Harmse

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p. 31-41

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Length of continued fractions in principal quadratic fields

Guillaume Grisel

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p. 35-49

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Généralisation d'une famille de Shanks

Brigitte Adam

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p. 43-58

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On the greatest prime factor of (ab + 1)(bc + 1)(ca + 1)

Yann Bugeaud

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p. 45-49

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Nilpotent local class field theory

Helmut Koch ; Susanne Kukkuk ; John Labute

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p. 45-64

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Bounds for the minimal solution of genus zero diophantine equations

Dimitrios Poulakis

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p. 51-90

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A character-sum estimate and applications

Karl K. Norton

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p. 51-78

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Ideal class groups of cyclotomic number fields II

Franz Lemmermeyer

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p. 59-70

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Global function fields with many rational places over the ternary field

Harald Niederreiter ; Chaoping Xing

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p. 65-86

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Asymptotic density of A⊂ ℕ and density of the ratio set R(A)

Oto Strauch ; János T. Tóth

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p. 67-78

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Sequences with bounded l.c.m. of each pair of terms

Yong-Gao Chen

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p. 71-95

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An explicit version of Birch's Theorem

Trevor D. Wooley

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p. 79-96

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Fitting ideals of class groups in a

$ℤ_{p}$ -extension

Pietro Cornacchia

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p. 79-88

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On the diophantine equation

$n (n + 1) . . . (n + k - 1) = b x^{l}$

K. Győry

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p. 87-92

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Arithmetic properties of periodic points of quadratic maps, II

Patrick Morton

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p. 89-102

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A supersingular congruence for modular forms

Andrew Baker

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p. 91-100

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A conditional result on Goldbach numbers in short intervals

A. Languasco

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p. 93-103

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Errata to "Average orders of multiplicative arithmetical functions of integer matrices" (Acta Arith. 66 (1994), 45-62)

G. Bhowmik ; O. Ramaré

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p. 97-98

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Analogs of Δ(z) for triangular Shimura curves

Shujuan Ji

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p. 97-108

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On the sum of a prime and the kth power of a prime

Claus Bauer

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p. 99-118

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A corollary to a theorem of Laurent-Mignotte-Nesterenko

M. Mignotte

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p. 101-111

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Courbes algébriques de genre ≥ 2 possédant de nombreux points rationnels

Leopoldo Kulesz

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p. 103-120

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Asymptotic behavior of Pascal's triangle modulo a prime

Brad Wilson

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p. 105-116

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On some polynomials allegedly related to the abc conjecture

Alexandr Borisov

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p. 109-128

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On the number of elements with maximal order in the multiplicative group modulo n

Shuguang Li

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p. 113-132

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On an equation with prime numbers

A. Kumchev ; T. Nedeva

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p. 117-126

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A combinatorial approach to partitions with parts in the gaps

Dennis Eichhorn

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p. 119-133

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An example in Beurling's theory of primes

Eugenio P. Balanzario

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p. 121-139

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On the structure of sets with small doubling property on the plane (I)

Yonutz Stanchescu

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p. 127-141

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Arithmetic of the modular function

$j_{1, 4}$

Chang Heon Kim ; Ja Kyung Koo

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p. 129-143

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Determination of the imaginary normal octic number fields with class number one which are not CM-fields

Ken Yamamura

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p. 133-147

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Free groups acting without fixed points on rational spheres

Kenzi Satô

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p. 135-140

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Caractérisation d'un ensemble généralisant l'ensemble des nombres de Pisot

Toufik Zaïmi

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p. 141-144

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Discrepancy of weighted matrix nets

W. W. L. Chen ; V. F. Lev

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p. 141-156

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On the distribution of primitive roots mod p

Cristian Cobeli ; Alexandru Zaharescu

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p. 143-153

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Radicals and units in Ramanujan's work

Bruce C. Berndt ; Heng Huat Chan ; Liang-Cheng Zhang

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p. 145-158

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On the diophantine equation

$x^{2} + b^{y} = c^{z}$

Pingzhi Yuan ; Jiabao Wang

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p. 145-147

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Note on some greatest common divisor matrices

Peter Lindqvist ; Kristian Seip

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p. 149-154

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On two problems of Mordell about exponential sums

Hong Bing Yu

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p. 149-154

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Mean value theorems for long Dirichlet polynomials and tails of Dirichlet series

D. A. Goldston ; S. M. Gonek

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p. 155-192

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An additive problem with primes and almost-primes

T. P. Peneva ; D. I. Tolev

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p. 155-169

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Growth of the product

$\prod_{j = 1}^{n} (1 - x^{a_{j}})$

J. P. Bell ; P. B. Borwein ; L. B. Richmond

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p. 155-170

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Combinatoire des codages de rotations

Gilles Didier

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p. 157-177

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On sums of distinct representatives

Hui-Qin Cao ; Zhi-Wei Sun

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p. 159-169

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A singular series average and Goldbach numbers in short intervals

A. Languasco

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p. 171-179

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On Waring's problem in finite fields

Arne Winterhof

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p. 171-177

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Genera of arithmetic Fuchsian groups

Stefan Johansson

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p. 171-191

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Concentration function of additive functions on shifted twin primes

Wong, Simon

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p. 173-224

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The Diophantine equation X² - db²Y⁴ = 1

Gary Walsh

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p. 179-188

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On sums of two cubes: an Ω₊-estimate for the error term

M. Kühleitner ; W. G. Nowak ; J. Schoissengeier ; T. D. Wooley

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p. 179-195

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The distribution of second order linear recurrence sequences mod

$2^{m}$

Mark D. Morgan

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p. 181-195

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Concentration function of additive functions on shifted twin primes

Simon Wong

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p. 193-224

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Some diophantine equations of the form

$x^{n} + y^{n} = z^{m}$

Bjorn Poonen

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p. 193-205

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Correction au travail "Sur la densité de certains ensembles de multiples, 1", (Acta Arith. 69 (1995), 121-152)

A. Raouj

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p. 197-198

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Generators and equations for modular function fields of principal congruence subgroups

Nobuhiko Ishida

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p. 197-207

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Editor’s note

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p. 199

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On the sequence of numbers of the form

$ε ₀ + ε ₁ q + . . . + ε_{n} q^{n}$ ,

$ε_{i} \in 0, 1$

Paul Erdős ; István Joó ; Vilmos Komornik

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p. 201-210

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Constructions de polynômes génériques à groupe de Galois résoluble

Odile Lecacheux

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p. 207-216

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Zero density estimates of L-functions associated with cusp forms

Yuichi Kamiya

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p. 209-227

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Determination of all non-quadratic imaginary cyclic number fields of 2-power degree with relative class number ≤ 20

Young-Ho Park ; Soun-Hi Kwon

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p. 211-223

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Further evaluations of Weil sums

Robert S. Coulter

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p. 217-226

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Applications des entiers à diviseurs denses

Eric Saias

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p. 225-240

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Primes in almost all short intervals

Alessandro Zaccagnini

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p. 225-244

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Integer solutions of a sequence of decomposable form inequalities

K. Győry ; Min Ru

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p. 227-237

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Divisors in a Dedekind domain

Javier Cilleruelo ; Jorge Jiménez-Urroz

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p. 229-233

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Relative Galois module structure of integers of local abelian fields

Günter Lettl

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p. 235-248

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ℚ-linear relations of special values of the Estermann zeta function

Makoto Ishibashi

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p. 239-244

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Explicit evaluations of some Weil sums

Robert S. Coulter

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p. 241-251

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Dirichlet series associated with polynomials

Manfred Peter

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p. 245-278

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On Waring's problem with polynomial summands II

Hong Bing Yu

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p. 245-254

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Index for subgroups of the group of units in number fields

Tsutomu Shimada

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p. 249-263

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Determination of elliptic curves with everywhere good reduction over ℚ(√37)

Takaaki Kagawa

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p. 253-269

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Hyper-Kloosterman sums and estimation of exponential sums of polynomials of higher degrees

Yangbo Ye

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p. 255-267

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Lattice points in bodies of revolution

Fernando Chamizo

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p. 265-277

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On the additive completion of primes

Imre Z. Ruzsa

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p. 269-275

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Distinct zeros of L-functions

E. Bombieri ; A. Perelli

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p. 271-281

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Global function fields with many rational places over the quinary field. II

Harald Niederreiter ; Chaoping Xing

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p. 277-288

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On strong uniform distribution, II. The infinite-dimensional case

Y. Lacroix

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p. 279-290

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Distribution of values of Hecke characters of infinite order

C. S. Rajan

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p. 279-291

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Dedekind sums with predictable signs

Kurt Girstmair

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p. 283-295

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Cohomology groups of units in

$ℤ_{p}^{d}$ -extensions

Mingzhi Xu

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p. 289-304

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On the theory of cubic residues and nonresidues

Zhi-Hong Sun

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p. 291-335

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On the average number of unitary factors of finite abelian groups

Wenguang Zhai ; Xiaodong Cao

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p. 293-300

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Imaginary quadratic fields with small odd class number

Steven Arno ; M. L. Robinson ; Ferrell S. Wheeler

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p. 295-330

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Das Flaviussche Sieb

Mats Erik Andersson

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p. 301-307

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On inhomogeneous Diophantine approximation and the Nishioka-Shiokawa-Tamura algorithm

Takao Komatsu

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p. 305-324

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Условия ортогональности на конечных отрезках для функций π(x), R(x) входящих в закон простых чисел.

Ян Мозер

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p. 309-330

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On the number of polynomials of bounded measure

A. Dubickas ; S. V. Konyagin

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p. 325-342

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Jacobi symbols, ambiguous ideals, and continued fractions

R. A. Mollin

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p. 331-349

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Shifted primes without large prime factors

R. C. Baker ; G. Harman

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p. 331-361

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The continued fraction expansion of α with μ(α) = 3

Shin-Ichi Yasutomi

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p. 337-374

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A numerical bound for small prime solutions of some ternary linear equations

Ming-Chit Liu ; Tianze Wang

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p. 343-383

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Détermination de courbes elliptiques pour la conjecture de Szpiro

Abderrahmane Nitaj

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p. 351-376

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Sur la fermeture de l'ensemble des K-nombres de Pisot

Toufik Zaïmi

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p. 363-367

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l-adic L-functions and rational function measures

Jangheon Oh

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p. 369-379

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Arithmetic of cyclic quotients of the Fermat quintic

Pavlos Tzermias

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p. 375-384

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Note on the congruence of Ankeny-Artin-Chowla type modulo p²

Stanislav Jakubec

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p. 377-388

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On an equation of Goormaghtigh

Yu. V. Nesterenko ; T. N. Shorey

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p. 381-389

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Corrections to the paper "On values of a polynomial a arithmetic progressions with equal products" (Acta Arith. 72 (1995), 67-76)

N. Saradha ; T. N. Shorey ; R. Tijdeman

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p. 385-386

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On the Erdős-Turán inequality for balls

Glyn Harman

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p. 389-396

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A generalization of Maillet and Demyanenko determinants

Mikihito Hirabayashi

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p. 391-397

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