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

Publication subTitle :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

Author: Kálmán Györy   Henryk Iwaniec   Jerzy Urbanowicz  

Publisher: De Gruyter‎

Publication year: 1999

E-ISBN: 9783110285581

P-ISBN(Paperback): 9783110157154

Subject:

Language: ENG

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Chapter

Preface

pp.:  5 – 7

List of participants

pp.:  7 – 11

Table of contents of Volume I

pp.:  11 – 15

Table of contents of Volume II

pp.:  15 – 17

On the distribution of solutions of Thue’s equation

pp.:  51 – 63

Linear independence and divided derivatives of a Drinfeld module. I

pp.:  63 – 79

Cubic threefolds with six double points

pp.:  79 – 91

Arithmétique et espaces de modules de revêtements

pp.:  91 – 119

On a polynomial with large number of irreducible factors

pp.:  119 – 127

Fractions continues paramétrées et critère de Rabinowitsch

pp.:  127 – 137

The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group

pp.:  137 – 159

On the factorization of polynomials with small Euclidean norm

pp.:  159 – 181

Small Salem numbers

pp.:  181 – 185

Variables separated polynomials, the genus 0 problem and moduli spaces

pp.:  185 – 245

Some polynomial identities related to the abc-conjecture

pp.:  245 – 253

On the distribution of solutions of decomposable form equations

pp.:  253 – 283

Finding small degree factors of lacunary polynomials

pp.:  283 – 293

On the factorization of lacunary polynomials

pp.:  293 – 309

Specializations of some hyperelliptic Jacobians

pp.:  309 – 325

Salem numbers and Pisot numbers from stars

pp.:  325 – 337

On lacunary formal series and their continued fraction expansion

pp.:  337 – 343

The ultra-divergent series Σn>_o 0-2n

pp.:  343 – 353

Une remarque sur l’équation de Catalan

pp.:  353 – 357

The work of Andrzej Schinzel in number theory

pp.:  357 – 375

Algebraic curves with many rational points over finite fields of characteristic 2

pp.:  375 – 397

Arf equivalence I

pp.:  397 – 411

The number of irreducible factors of a polynomial, III

pp.:  411 – 423

Identities with covering systems and Appell polynomials

pp.:  423 – 435

Binary recurring sequences and powers, I

pp.:  435 – 447

On Mahler’s measure for polynomials in several variables

pp.:  447 – 461

Polynomials that divide many A:-nomials

pp.:  461 – 467

Solution trees of polynomial congruences modulo prime powers

pp.:  467 – 489

The equation a(xn-1)/(x-1)=byq with ab > 1

pp.:  489 – 503

Transcendence bases of the algebra of vector invariants for a symmetric group

pp.:  503 – 519

Some applications of Schinzel’s Hypothesis to Diophantine equations

pp.:  519 – 547

On the Milnor exact sequence for rational quadratic forms

pp.:  547 – 555

Some notes on monodromy groups of polynomials

pp.:  555 – 569

Integer valued entire functions on Cartesian products

pp.:  569 – 593

On a conjecture of Schinzel and Tijdeman

pp.:  593 – 599

List of contributors

pp.:  599 – 613

Table of contents of Volume II

pp.:  613 – 615

On some convex lattice polytopes

pp.:  615 – 631

Digital blocks in linear numeration systems

pp.:  631 – 657

On irregularities of distribution in shifts and dilation of integer sequences, II

pp.:  657 – 663

Addition of integer sequences and subsets of real tori

pp.:  663 – 675

Kloosterman sums for the modular group

pp.:  675 – 699

Hecke series values of holomorphic cusp forms in the centre of the critical strip

pp.:  699 – 715

Bounds for frequencies of residues of regular second-order recurrences modulo pr

pp.:  715 – 745

Differential inequalities for Iwaniec’s q functions

pp.:  745 – 761

When is the product of two Hecke eigenforms an eigenform?

pp.:  761 – 767

Grandes valeurs de la fonction dk

pp.:  767 – 795

On a multiplicative analogue of Goldbach’s conjecture

pp.:  795 – 819

On two conjectures of Sierpiński concerning the arithmetic functions σ and φ

pp.:  819 – 829

Residue classes free of values of Euler’s function

pp.:  829 – 837

Gauss’ congruence from Dirichlet’s class number formula and generalizations

pp.:  837 – 865

Note on a variance in the distribution of primes

pp.:  865 – 873

The distribution of modular symbols

pp.:  873 – 891

On the solutions to φ(n) = φ(n + k)

pp.:  891 – 907

Lattice points in the sphere

pp.:  907 – 917

On the Barban-Davenport-Halberstam theorem: XII

pp.:  917 – 935

The integer points close to a curve III

pp.:  935 – 965

Dirichlet L-functions at the central point

pp.:  965 – 977

The Selberg class: a survey

pp.:  977 – 1017

A radically simplified Selberg zeta function for the modular group

pp.:  1017 – 1029

The Goldbach-Vinogradov Theorem

pp.:  1029 – 1049

A Tauber theorem and multiplicative functions on permutations

pp.:  1049 – 1063

Extreme values of Dirichlet L-functions at 1

pp.:  1063 – 1077

On the remainder term in the Selberg sieve

pp.:  1077 – 1089

Newforms for the modular group on spaces of dimension 2

pp.:  1089 – 1095

Computational sieving applied to some classical number-theoretic problems

pp.:  1095 – 1105

Evaluation of mean-values of products of shifted arithmetical functions, II

pp.:  1105 – 1123

Crible d’Ératosthène et modèle de Kubilius

pp.:  1123 – 1155

Three two-dimensional Weyl steps in the circle problem. III. Exponential integrals and application

pp.:  1155 – 1171

From quadratic functions to modular functions

pp.:  1171 – 1203

List of contributors

pp.:  1203 – 1213

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