Number Theory in Progress: Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997

Published by De Gruyter 1999

Number Theory in Progress

Edited by: Kálmán Györy , Henryk Iwaniec and Jerzy Urbanowicz

https://doi.org/10.1515/9783110285581

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Contents

About this book

Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997.

Topics

i-iv Requires Authentication Unlicensed Licensed Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	v
List of participants Requires Authentication Unlicensed Licensed Download PDF	vii
Table of contents of Volume I Requires Authentication Unlicensed Licensed Download PDF	xi
Table of contents of Volume II Requires Authentication Unlicensed Licensed Download PDF	xv
Quelques nouveaux résultats sur les nombres de Pisot et de Salem M.J. Bertin Requires Authentication Unlicensed Licensed Download PDF	1
Irreducibility of polynomials and arithmetic progressions with equal products of terms F. Beukers, T.N. Shorey and R. Tijdeman Requires Authentication Unlicensed Licensed Download PDF	11
Mahler’s measure and special values of L-functions — some conjectures David W. Boyd Requires Authentication Unlicensed Licensed Download PDF	27
On the distribution of solutions of Thue’s equation Béla Brindza, Ákos Pintér, Alfred J. van der Poorten and Michel Waldschmidt Requires Authentication Unlicensed Licensed Download PDF	35
Linear independence and divided derivatives of a Drinfeld module. I W. Dale Brownawell Requires Authentication Unlicensed Licensed Download PDF	47
Cubic threefolds with six double points D.F. Coray, D.J. Lewis, N.I. Shepherd-Barron and Sir Peter Swinnerton-Dyer Requires Authentication Unlicensed Licensed Download PDF	63
Arithmétique et espaces de modules de revêtements Pierre Dèbes Requires Authentication Unlicensed Licensed Download PDF	75
On a polynomial with large number of irreducible factors A. Dubickas Requires Authentication Unlicensed Licensed Download PDF	103
Fractions continues paramétrées et critère de Rabinowitsch E. Dubois and A. Farhane Requires Authentication Unlicensed Licensed Download PDF	111
The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group Jan-Hendrik Evertse and Hans Peter Schlickewei Requires Authentication Unlicensed Licensed Download PDF	121
On the factorization of polynomials with small Euclidean norm Michael Filaseta Requires Authentication Unlicensed Licensed Download PDF	143
Small Salem numbers V. Flammang, M. Grandcolas and G. Rhin Requires Authentication Unlicensed Licensed Download PDF	165
Variables separated polynomials, the genus 0 problem and moduli spaces Michael D. Fried Requires Authentication Unlicensed Licensed Download PDF	169
Some polynomial identities related to the abc-conjecture George Greaves and Abderrahmane Nitaj Requires Authentication Unlicensed Licensed Download PDF	229
On the distribution of solutions of decomposable form equations K. Gyo̎ry Requires Authentication Unlicensed Licensed Download PDF	237
Finding small degree factors of lacunary polynomials H. W. Lenstra Requires Authentication Unlicensed Licensed Download PDF	267
On the factorization of lacunary polynomials H. W. Lenstra Requires Authentication Unlicensed Licensed Download PDF	277
Specializations of some hyperelliptic Jacobians D.W. Masser Requires Authentication Unlicensed Licensed Download PDF	293
Salem numbers and Pisot numbers from stars J.F. McKee, P. Rowlinson and C.J. Smyth Requires Authentication Unlicensed Licensed Download PDF	309
On lacunary formal power series and their continued fraction expansion Michel Mendès France, Alfred J. van der Poorten and Jeffrey Shallit Requires Authentication Unlicensed Licensed Download PDF	321
The ultra-divergent series Σ_n>̲0 0^-2ⁿ M. Mendès France and A. Sebbar Requires Authentication Unlicensed Licensed Download PDF	327
Une remarque sur l’équation de Catalan Maurice Mignotte Requires Authentication Unlicensed Licensed Download PDF	337
The work of Andrzej Schinzel in number theory Wladyslaw Narkiewicz Requires Authentication Unlicensed Licensed Download PDF	341
Algebraic curves with many rational points over finite fields of characteristic 2 Harald Niederreiter and Chaoping Xing Requires Authentication Unlicensed Licensed Download PDF	359
Arf equivalence I Robert Perlis Requires Authentication Unlicensed Licensed Download PDF	381
The number of irreducible factors of a polynomial, III Christopher G. Pinner and Jeffrey D. Vaaler Requires Authentication Unlicensed Licensed Download PDF	395
Identities with covering systems and Appell polynomials S̆tefan Porubský Requires Authentication Unlicensed Licensed Download PDF	407
Binary recurring sequences and powers, I Paulo Ribenboim Requires Authentication Unlicensed Licensed Download PDF	419
On Mahler’s measure for polynomials in several variables Imre Z. Ruzsa Requires Authentication Unlicensed Licensed Download PDF	431
Polynomials that divide many k-nomials Hans Peter Schlickewei and Carlo Viola Requires Authentication Unlicensed Licensed Download PDF	445
Solution trees of polynomial congruences modulo prime powers Wolfgang M. Schmidt Requires Authentication Unlicensed Licensed Download PDF	451
The equation a^xⁿ-1_x-1 =by^q with ab>1 T.N. Shorey Requires Authentication Unlicensed Licensed Download PDF	473
Transcendence bases of the algebra of vector invariants for a symmetric group Serguei A. Stepanov Requires Authentication Unlicensed Licensed Download PDF	487
Some applications of Schinzel’s Hypothesis to Diophantine equations Sir Peter Swinnerton-Dyer Requires Authentication Unlicensed Licensed Download PDF	503
On the Milnor exact sequence for rational quadratic forms Kazimierz Szymiczek Requires Authentication Unlicensed Licensed Download PDF	531
Some notes on monodromy groups of polynomials Gerhard Turnwald Requires Authentication Unlicensed Licensed Download PDF	539
Integer valued entire functions on Cartesian products Michel Waldschmidt Requires Authentication Unlicensed Licensed Download PDF	553
On a conjecture of Schinzel and Tijdeman P. G. Walsh Requires Authentication Unlicensed Licensed Download PDF	577
List of contributors Requires Authentication Unlicensed Licensed Download PDF	583
On some convex lattice polytopes Antal Balog and Jean-Marc Deshouillers Requires Authentication Unlicensed Licensed Download PDF	591
Digital blocks in linear numeration systems G. Barat, R.F. Tichy and R. Tijdeman Requires Authentication Unlicensed Licensed Download PDF	607
On irregularities of distribution in shifts and dilations of integer sequences, II J. Beck, A. Sárközy and C.L. Stewart Requires Authentication Unlicensed Licensed Download PDF	633
Addition of integer sequences and subsets of real tori Yuri Bilu Requires Authentication Unlicensed Licensed Download PDF	639
Kloosterman sums for the modular group Roelof W. Bruggeman Requires Authentication Unlicensed Licensed Download PDF	651
Hecke series values of holomorphic cusp forms in the centre of the critical strip V.A. Bykovsky Requires Authentication Unlicensed Licensed Download PDF	675
Bounds for frequencies of residues of regular second-order recurrences modulo p^r Walter Carlip and Lawrence Somer Requires Authentication Unlicensed Licensed Download PDF	691
Differential inequalities for Iwaniec’s q functions Harold G. Diamond and H. Halberstam Requires Authentication Unlicensed Licensed Download PDF	721
When is the product of two Hecke eigenforms an eigenform? W. Duke Requires Authentication Unlicensed Licensed Download PDF	737
Grandes valeurs de la fonction d_k Jean-Luc Duras, Jean-Louis Nicolas and Guy Robin Requires Authentication Unlicensed Licensed Download PDF	743
On a multiplicative analogue of Goldbach’s conjecture P.D.T.A. Elliott Requires Authentication Unlicensed Licensed Download PDF	771
On two conjectures of Sierpiński concerning the arithmetic functions σ and φ Kevin Ford and Sergei Konyagin Requires Authentication Unlicensed Licensed Download PDF	795
Residue classes free of values of Euler’s function Kevin Ford, Sergei Konyagin and Carl Pomerance Requires Authentication Unlicensed Licensed Download PDF	805
Gauss’ congruence from Dirichlet’s class number formula and generalizations Glenn J. Fox, Jerzy Urbanowicz and Kenneth S. Williams Requires Authentication Unlicensed Licensed Download PDF	813
Note on a variance in the distribution of primes J.B. Friedlander and D.A. Goldston Requires Authentication Unlicensed Licensed Download PDF	841
The distribution of modular symbols Dorian Goldfeld Requires Authentication Unlicensed Licensed Download PDF	849
On the solutions to φ(n) = φ(n + k) S. W. Graham, Jeffrey J. Holt and Carl Pomerance Requires Authentication Unlicensed Licensed Download PDF	867
Lattice points in the sphere D.R. Heath-Brown Requires Authentication Unlicensed Licensed Download PDF	883
On the Barban-Davenport-Halberstam theorem: XII C. Hooley Requires Authentication Unlicensed Licensed Download PDF	893
The integer points close to a curve III M.N. Huxley Requires Authentication Unlicensed Licensed Download PDF	911
Dirichlet L-functions at the central point H. Iwaniec and P. Sarnak Requires Authentication Unlicensed Licensed Download PDF	941
The Selberg class: a survey J. Kaczorowski and A. Perelli Requires Authentication Unlicensed Licensed Download PDF	953
A radically simplified Selberg zeta function for the modular group John B. Lewis Requires Authentication Unlicensed Licensed Download PDF	993
The Goldbach-Vinogradov Theorem Jianya Liu and Tao Zhan Requires Authentication Unlicensed Licensed Download PDF	1005
Α Tauber theorem and multiplicative functions on permutations Eugenijus Manstavic̆ius Requires Authentication Unlicensed Licensed Download PDF	1025
Extreme values of Dirichlet L-functions at 1 H.L. Montgomery and R.C. Vaughan Requires Authentication Unlicensed Licensed Download PDF	1039
On the remainder term in the Selberg sieve Yoichi Motohashi Requires Authentication Unlicensed Licensed Download PDF	1053
Newforms for the modular group on spaces of dimension 2 R.A. Rankin Requires Authentication Unlicensed Licensed Download PDF	1065
Computational sieving applied to some classical number-theoretic problems Herman te Riele Requires Authentication Unlicensed Licensed Download PDF	1071
Evaluation of mean-values of products of shifted arithmetical functions, II Wolfgang Schwarz Requires Authentication Unlicensed Licensed Download PDF	1081
Crible d’Ératosthène et modèle de Kubilius Gérald Tenenbaum Requires Authentication Unlicensed Licensed Download PDF	1099
Three two-dimensional Weyl steps in the circle problem, III. Exponential integrals and application Ulrike Μ.Α. Vorhauer and Eduard Wirsing Requires Authentication Unlicensed Licensed Download PDF	1131
From quadratic functions to modular functions D. Zagier Requires Authentication Unlicensed Licensed Download PDF	1147
List of contributors Requires Authentication Unlicensed Licensed Download PDF	1179

(Deutsch)

Language: English
Publisher: De Gruyter
Edition: Reprint 2012
Pages
- Front matter: 22
- Main content: 1185
Illustrations
- Other: 1 frontispiece

eBook

Published: February 13, 2012
ISBN: 9783110285581

Hardcover

Published: April 14, 1999
ISBN: 9783110157154