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Umfang: 1 online resource (1185 p.) : , 1 frontispiece

Ausgabe: Reprint 2012

ISBN: 9783110285581 , 9783110637199

Inhalt: 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.

Anmerkung: i-iv -- , Preface -- , List of participants -- , Table of contents of Volume I -- , Table of contents of Volume II -- , Quelques nouveaux résultats sur les nombres de Pisot et de Salem -- , Irreducibility of polynomials and arithmetic progressions with equal products of terms -- , Mahler's measure and special values of L-functions - some conjectures -- , On the distribution of solutions of Thue's equation -- , Linear independence and divided derivatives of a Drinfeld module. I -- , Cubic threefolds with six double points -- , Arithmétique et espaces de modules de revêtements -- , On a polynomial with large number of irreducible factors -- , Fractions continues paramétrées et critère de Rabinowitsch -- , The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group -- , On the factorization of polynomials with small Euclidean norm -- , Small Salem numbers -- , Variables separated polynomials, the genus 0 problem and moduli spaces -- , Some polynomial identities related to the abc-conjecture -- , On the distribution of solutions of decomposable form equations -- , Finding small degree factors of lacunary polynomials -- , On the factorization of lacunary polynomials -- , Specializations of some hyperelliptic Jacobians -- , Salem numbers and Pisot numbers from stars -- , On lacunary formal power series and their continued fraction expansion -- , The ultra-divergent series Σn〉̲0 0-2n -- , Une remarque sur l'équation de Catalan -- , The work of Andrzej Schinzel in number theory -- , Algebraic curves with many rational points over finite fields of characteristic 2 -- , Arf equivalence I -- , The number of irreducible factors of a polynomial, III -- , Identities with covering systems and Appell polynomials -- , Binary recurring sequences and powers, I -- , On Mahler's measure for polynomials in several variables -- , Polynomials that divide many k-nomials -- , Solution trees of polynomial congruences modulo prime powers -- , The equation axn-1x-1 =byq with ab〉1 -- , Transcendence bases of the algebra of vector invariants for a symmetric group -- , Some applications of Schinzel's Hypothesis to Diophantine equations -- , On the Milnor exact sequence for rational quadratic forms -- , Some notes on monodromy groups of polynomials -- , Integer valued entire functions on Cartesian products -- , On a conjecture of Schinzel and Tijdeman -- , List of contributors -- , On some convex lattice polytopes -- , Digital blocks in linear numeration systems -- , On irregularities of distribution in shifts and dilations of integer sequences, II -- , Addition of integer sequences and subsets of real tori -- , Kloosterman sums for the modular group -- , Hecke series values of holomorphic cusp forms in the centre of the critical strip -- , Bounds for frequencies of residues of regular second-order recurrences modulo pr -- , Differential inequalities for Iwaniec's q functions -- , When is the product of two Hecke eigenforms an eigenform? -- , Grandes valeurs de la fonction dk -- , On a multiplicative analogue of Goldbach's conjecture -- , On two conjectures of Sierpiński concerning the arithmetic functions σ and φ -- , Residue classes free of values of Euler's function -- , Gauss' congruence from Dirichlet's class number formula and generalizations -- , Note on a variance in the distribution of primes -- , The distribution of modular symbols -- , On the solutions to φ(n) = φ(n + k) -- , Lattice points in the sphere -- , On the Barban-Davenport-Halberstam theorem: XII -- , The integer points close to a curve III -- , Dirichlet L-functions at the central point -- , The Selberg class: a survey -- , A radically simplified Selberg zeta function for the modular group -- , The Goldbach-Vinogradov Theorem -- , Α Tauber theorem and multiplicative functions on permutations -- , Extreme values of Dirichlet L-functions at 1 -- , On the remainder term in the Selberg sieve -- , Newforms for the modular group on spaces of dimension 2 -- , Computational sieving applied to some classical number-theoretic problems -- , Evaluation of mean-values of products of shifted arithmetical functions, II -- , Crible d'Ératosthène et modèle de Kubilius -- , Three two-dimensional Weyl steps in the circle problem, III. Exponential integrals and application -- , From quadratic functions to modular functions -- , List of contributors , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199

Weitere Ausg.: ISBN 9783110157154

Sprache: Englisch

Fachgebiete: Mathematik

DOI: 10.1515/9783110285581

URL: https://doi.org/10.1515/9783110285581

URL: https://www.degruyter.com/isbn/9783110285581

URL: Cover