bwmeta1.element.bwnjournal-journal-aa, Tome 80 (1997)

Sommaire

ℤ_{S}

-extensions

Yi Ouyang ; Fei Xu

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p. 1-10

The Polish Digital Mathematics Library

A stationary phase formula for exponential sums over

ℤ / p^{m} ℤ

and applications to GL(3)-Kloosterman sums

Romuald Dąbrowski ; Benji Fisher

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p. 1-48

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Double transitivity of Galois groups of trinomials

S. D. Cohen ; A. Movahhedi ; A. Salinier

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p. 1-15

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An analogue of the Weierstrass ζ-function in characteristic p

José Felipe Voloch

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p. 1-6

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On the equation

a^{p} + 2^{α} b^{p} + c^{p} = 0

Kenneth A. Ribet

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p. 7-16

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On Ramanujan congruences between special values of Hecke and Dirichlet L-functions

P. Guerzhoy

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p. 11-23

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The density of rational points on cubic surfaces

D. R. Heath-Brown

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p. 17-30

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On the diophantine equation

(x^{m} + 1) (x^{n} + 1) = y ²

Maohua Le

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p. 17-26

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On distribution functions of ξ(3/2)ⁿ mod 1

Oto Strauch

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p. 25-35

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Determination of all imaginary abelian sextic number fields with class number ≤ 11

Young-Ho Park ; Soun-Hi Kwon

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p. 27-43

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On limit distribution of the Matsumoto zeta-function

A. Laurinčikas

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p. 31-39

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Kummer’s lemma for

ℤ_{p}

-extensions over totally real number fields

Manabu Ozaki

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p. 37-44

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Some special curves of genus 5

Andrew Bremner

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p. 41-51

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On the average number of direct factors of finite abelian groups

Wenguang Zhai ; Xiaodong Cao

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p. 45-55

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Class numbers of real quadratic function fields

Christian Friesen ; Paul van Wamelen

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p. 45-55

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Ramanujan's evaluations of Rogers-Ramanujan type continued fractions at primitive roots of unity

Sen-Shan Huang

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p. 49-60

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Burnside's uniformization

R. A. Rankin

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p. 53-57

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A note on Sinnott's index formula

Kazuhiro Dohmae

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p. 57-67

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On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set

D. I. Tolev

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p. 57-68

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Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places

Harald Niederreiter ; Chaoping Xing

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p. 59-76

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Etude d'un terme d'erreur lié à la fonction totient de Jordan

Christian Tudesq

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p. 61-75

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On Diophantine quintuples

Andrej Dujella

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p. 69-79

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On integer solutions to x² - dy² = 1, z² - 2dy² =1

P. G. Walsh

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p. 69-76

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On the Mahler measure of polynomials in many variables

A. Schinzel

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p. 77-81

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The space of period polynomials

Shinji Fukuhara

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p. 77-93

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On Waring's problem with quartic polynomial summands

Hong Bing Yu

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p. 77-82

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Drinfeld modules of rank 1 and algebraic curves with many rational points. II

Harald Niederreiter ; Chaoping Xing

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p. 81-100

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On addition of two sets of integers

Yong-Gao Chen

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p. 83-87

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Wild sets and 2-ranks of class groups

P. E. Conner ; R. Perlis ; K. Szymiczek

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p. 83-91

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On the average order of the lattice rest of a convex body

Wolfgang Müller

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p. 89-100

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

C. L. Stewart ; R. Tijdeman

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p. 93-101

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On arithmetic progressions of equal lengthsand equal products of terms

Ajai Choudhry

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p. 95-97

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Errata to the paper "On a functional equation satisfied by certain Dirichlet series" (Acta Arith. 71 (1995), 265-272)

E. Carletti ; G. Monti Bragadin

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p. 99-101

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On the lattice point problem for ellipsoids

V. Bentkus ; F. Götze

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p. 101-125

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Opérateurs de Ruelle-Mayer généralisés et analyse en moyenne des algorithmes d'Euclide et de Gauss

Brigitte Vallée

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p. 101-144

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Hypergeometric series and the Riemann zeta function

Wenchang Chu

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p. 103-118

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Lower bounds of heights of points on hypersurfaces

Frits Beukers ; Don Zagier

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p. 103-111

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Double fibres and double covers: paucity of rational points

J.-L. Colliot-Thélène ; A. N. Skorobogatov ; Sir Peter Swinnerton-Dyer

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p. 113-135

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On decimal and continued fraction expansions of a real number

C. Faivre

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p. 119-128

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On the asymptotics of the number of p̅-core partitions of integers

Ian Kiming

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p. 127-139

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On double covers of the generalized alternating group

ℤ_{d} ≀_{m}

as Galois groups over algebraic number fields

Martin Epkenhans

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p. 129-145

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Approximation simultanée par des produits de puissances de nombres algébriques

Michel Waldschmidt

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p. 137-162

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A generalization of Perron's theorem about Hurwitzian numbers

Pierre Stambul

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p. 141-148

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On the arithmetic structure of the integers whose sum of digits is fixed

Christian Mauduit ; András Sárközy

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p. 145-173

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On perfect powers in products with terms from arithmetic progressions

N. Saradha

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p. 147-172

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Averages of twisted elliptic L-functions

A. Perelli ; J. Pomykała

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p. 149-163

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On prime factors of integers of the form (ab+1)(bc+1)(ca+1)

K. Győry ; A. Sárközy

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p. 163-171

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Waring's problem with small prime factors

Gergely Harcos

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p. 165-185

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The class number one problem for the non-abelian normal CM-fields of degree 16

Stéphane Louboutin

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p. 173-196

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Counting solutions of decomposable form equations

G. R. Everest ; K. Győry

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p. 173-191

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Exact m-covers and the linear form

\sum_{s = 1}^{k} x_{s} / n_{s}

Zhi-Wei Sun

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p. 175-198

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Dyadic diaphony

Peter Hellekalek ; Hannes Leeb

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p. 187-196

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A special case of Vinogradov's mean value theorem

R. C. Vaughan ; T. D. Wooley

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p. 193-204

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The ternary Goldbach problem in arithmetic progressions

Jianya Liu ; Tao Zhan

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p. 197-227

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On the divisors of

a^{k} + b^{k}

Pieter Moree

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p. 197-212

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Diagonal cubic equations

Hongze Li

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p. 199-227

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Classes logarithmiques ambiges des corps quadratiques

Florence Soriano

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p. 201-219

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The asymptotic distribution of Kloosterman sums

S. J. Patterson

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p. 205-219

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On the diophantine equation

x^{2} - p^{m} = \pm y^{n}

Yann Bugeaud

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p. 213-223

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Irreducible polynomials with many roots of equal modulus

Ronald Ferguson

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p. 221-225

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Small zeros of quadratic forms over algebraic function fields

Albrecht Pfister

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p. 221-238

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On the 2-primary part of K₂ of rings of integers in certain quadratic number fields

A. Vazzana

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p. 225-235

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Optimal bounds for the length of rational Collatz cycles

Lorenz Halbeisen ; Norbert Hungerbühler

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p. 227-239

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Root systems and the Erdős-Szekeres Problem

Roy Maltby

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p. 229-245

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Properties of certain integer-valued analogues of Dedekind sums

Jeffrey L. Meyer

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p. 229-242

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Critères de non-automaticité et leurs applications

Jia-Yan Yao

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p. 237-248

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On the Mahler measure of the composition of two polynomials

G. Rhin ; C. J. Smyth

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p. 239-247

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Computation of the Selmer groups of certain parametrized elliptic curves

S. Schmitt

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p. 241-254

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Norms of factors of polynomials

Michael Filaseta ; Ikhalfani Solan

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p. 243-255

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Tate-Shafarevich groups of the congruent number elliptic curves

Ken Ono

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p. 247-252

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4-core partitions and class numbers

Ken Ono ; Lawrence Sze

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p. 249-272

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Gaussian primes

Etienne Fouvry ; Henryk Iwaniec

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p. 249-287

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Elementary abelian 2-primary parts of K₂𝓞 and related graphs in certain quadratic number fields

A. Vazzana

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p. 253-264

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Fractional moments of the Riemann zeta-function

K. Ramachandra

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p. 255-265

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Arithmetical aspects of certain functional equations

Lutz G. Lucht

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p. 257-277

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On explicit construction of Hilbert-Siegel modular forms of degree two

Hisashi Kojima

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p. 265-274

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Polynomials that divide many trinomials

Hans Peter Schlickewei ; Carlo Viola

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p. 267-273

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Rational quartic reciprocity II

Franz Lemmermeyer

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p. 273-288

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Développement en fraction continue à l'entier supérieur, idéaux 0-réduits et un problème d'Eisenstein

Pierre Kaplan ; Yoshio Mimura

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p. 275-285

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Cyclic coverings of an elliptic curve with two branch points and the gap sequences at the ramification points

Jiryo Komeda

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p. 275-297

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The least prime primitive root and the shifted sieve

Greg Martin

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p. 277-288

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Modular equations of hyperelliptic X₀(N) and an application

Takeshi Hibino ; Naoki Murabayashi

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p. 279-291

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On a problem of Győry and Schinzel concerning polynomials

L. Hajdu

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p. 287-295

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On the diophantine equation

(\binom{n}{k}) = x^{l}

K. Győry

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p. 289-295

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On a problem of Hardy and Littlewood

Christopher Hooley

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p. 289-311

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Polynomials with nontrivial relations between their roots

John D. Dixon

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p. 293-302

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Steinitz classes of nonabelian extensions of degree p³

James E. Carter

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p. 297-303

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Гипотеза Римана для некоторых частей функции ζ(s) и новая формула для π(x)

Ян Мозер

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p. 297-310

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Paul Erdős’s (1913-1996)

András Sárközy

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p. 299-317

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On the irreducibility of some polynomials in two variables

B. Brindza ; Á. Pintér

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p. 303-307

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Supplément à la bibliographie des travaux de S. Lubelski publiée dans le volume 4 (1958), p. 1-2

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p. 305

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The primary pretenders

John H. Conway ; Richard K. Guy ; W. A. Schneeberger ; N. J. A. Sloane

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p. 307-313

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New integral representations for the square of the Riemann zeta-function

Andreas Guthmann

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p. 309-330

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Upper bounds for least witnesses and generating sets

Ronald Joseph Burthe Jr.

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p. 311-326

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On the average of character sums for a group of characters

D. A. Burgess

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p. 313-332

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On normal integral bases in ray class fields over imaginary quadratic fields

Cornelius Greither

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p. 315-329

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List of Paul Erdős's publications in number theory

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p. 319-343

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The average least witness is 2

Ronald Joseph Burthe Jr.

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p. 327-341

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Gauss sums for orthogonal groups over a finite field of characteristic two

Dae San Kim ; Young Ho Park

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p. 331-357

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Pascal's triangle (mod 9)

James G. Huard ; Blair K. Spearman ; Kenneth S. Williams

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p. 331-349

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Canonical heights on the Jacobians of curves of genus 2 and the infinite descent

E. V. Flynn ; N. P. Smart

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p. 333-352

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Gauss sums for O⁻(2n,q)

Dae San Kim

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p. 343-365

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Normality of numbers generated by the values of polynomials at primes

Yoshinobu Nakai ; Iekata Shiokawa

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p. 345-356

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Distribution of integer partitions with large number of summands

Hsien-Kuei Hwang

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p. 351-365

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The factor-difference set of integers

Paul Erdős ; Moshe Rosenfeld

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p. 353-359

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On the distribution of the sequence (nα) with transcendental α

Christoph Baxa

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p. 357-363

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Une courbe elliptique définie sur ℚ de rang ≥ 22

Stéfane Fermigier

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p. 359-363

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The unit equation and the cluster principle

E. Bombieri ; J. Mueller ; M. Poe

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p. 361-389

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On the number of sums and products

György Elekes

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p. 365-367

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On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol

Christian Mauduit ; András Sárközy

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p. 365-377

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The number of families of solutions of decomposable form equations

J.-H. Evertse ; K. Győry

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p. 367-394

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Valeurs en s=1 de fonctions L

Michel Pestour

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p. 367-376

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Hyperelliptic modular curves

X *_{0} (N)

Yuji Hasegawa

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p. 369-385

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Bounds for digital nets and sequences

Wolfgang Ch. Schmid ; Reinhard Wolf

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p. 377-399

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Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)

Liang-Cheng Zhang

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p. 379-392

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Some linear relations between values of trigonometric functions at kπ/n

Kurt Girstmair

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p. 387-398

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Algebraic points of low degree on the Fermat quintic

Matthew Klassen ; Pavlos Tzermias

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p. 393-401

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The Diophantine equation x⁴ - Dy² = 1, II

J. H. E. Cohn

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p. 401-403

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Prime divisors of Lucas sequences

Pieter Moree ; Peter Stevenhagen

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p. 403-410

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The distribution of the eigenvalues of Hecke operators

J. B. Conrey ; W. Duke ; D. W. Farmer

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p. 405-409

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