Number Theory in Progress / Kálmán Györy, Henryk Iwaniec, Jerzy Urbanowicz.

Format:

Book

Conference/Event

Contributor:

Györy, Kálmán, editor.

Iwaniec, Henryk, editor.

Urbanowicz, Jerzy, editor.

Conference Name:

International Conference on Number Theory (1997 : Zakopane, Poland)

Language:

English

Subjects (All):

Number theory--Congresses.

Number theory.

Numerical analysis--Congresses.

Numerical analysis.

Physical Description:

1 online resource (1212 p.)

Edition:

Reprint 2012

Place of Publication:

Berlin ; Boston : De Gruyter, [2012]

Language Note:

English

Summary:

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.

Contents:

Frontmatter

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 / Bertin, M.J.

Irreducibility of polynomials and arithmetic progressions with equal products of terms / Beukers, F. / Shorey, T.N. / Tijdeman, R.

Mahler's measure and special values of L-functions - some conjectures / Boyd, David W.

On the distribution of solutions of Thue's equation / Brindza, Béla / Pintér, Ákos / van der Poorten, Alfred J. / Waldschmidt, Michel

Linear independence and divided derivatives of a Drinfeld module. I / Brownawell, W. Dale

Cubic threefolds with six double points / Coray, D.F. / Lewis, D.J. / Shepherd-Barron, N.I. / Swinnerton-Dyer, Sir Peter

Arithmétique et espaces de modules de revêtements / Dèbes, Pierre

On a polynomial with large number of irreducible factors / Dubickas, A.

Fractions continues paramétrées et critère de Rabinowitsch / Dubois, E. / Farhane, A.

The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group / Evertse, Jan-Hendrik / Schlickewei, Hans Peter

On the factorization of polynomials with small Euclidean norm / Filaseta, Michael

Small Salem numbers / Flammang, V. / Grandcolas, M. / Rhin, G.

Variables separated polynomials, the genus 0 problem and moduli spaces / Fried, Michael D.

Some polynomial identities related to the abc-conjecture / Greaves, George / Nitaj, Abderrahmane

On the distribution of solutions of decomposable form equations / Gyo̎ry, K.

Finding small degree factors of lacunary polynomials / Lenstra, H. W.

On the factorization of lacunary polynomials / Lenstra, H. W.

Specializations of some hyperelliptic Jacobians / Masser, D.W.

Salem numbers and Pisot numbers from stars / McKee, J.F. / Rowlinson, P. / Smyth, C.J.

On lacunary formal power series and their continued fraction expansion / France, Michel Mendès / van der Poorten, Alfred J. / Shallit, Jeffrey

The ultra-divergent series Σn>̲0 0-2n / France, M. Mendès / Sebbar, A.

Une remarque sur l'équation de Catalan / Mignotte, Maurice

The work of Andrzej Schinzel in number theory / Narkiewicz, Wladyslaw

Algebraic curves with many rational points over finite fields of characteristic 2 / Niederreiter, Harald / Xing, Chaoping

Arf equivalence I / Perlis, Robert

The number of irreducible factors of a polynomial, III / Pinner, Christopher G. / Vaaler, Jeffrey D.

Identities with covering systems and Appell polynomials / Porubský, S̆tefan

Binary recurring sequences and powers, I / Ribenboim, Paulo

On Mahler's measure for polynomials in several variables / Ruzsa, Imre Z.

Polynomials that divide many k-nomials / Schlickewei, Hans Peter / Viola, Carlo

Solution trees of polynomial congruences modulo prime powers / Schmidt, Wolfgang M.

The equation axn-1x-1 =byq with ab>1 / Shorey, T.N.

Transcendence bases of the algebra of vector invariants for a symmetric group / Stepanov, Serguei A.

Some applications of Schinzel's Hypothesis to Diophantine equations / Swinnerton-Dyer, Sir Peter

On the Milnor exact sequence for rational quadratic forms / Szymiczek, Kazimierz

Some notes on monodromy groups of polynomials / Turnwald, Gerhard

Integer valued entire functions on Cartesian products / Waldschmidt, Michel

On a conjecture of Schinzel and Tijdeman / Walsh, P. G.

List of contributors

On some convex lattice polytopes / Balog, Antal / Deshouillers, Jean-Marc

Digital blocks in linear numeration systems / Barat, G. / Tichy, R.F. / Tijdeman, R.

On irregularities of distribution in shifts and dilations of integer sequences, II / Beck, J. / Sárközy, A. / Stewart, C.L.

Addition of integer sequences and subsets of real tori / Bilu, Yuri

Kloosterman sums for the modular group / Bruggeman, Roelof W.

Hecke series values of holomorphic cusp forms in the centre of the critical strip / Bykovsky, V.A.

Bounds for frequencies of residues of regular second-order recurrences modulo pr / Carlip, Walter / Somer, Lawrence

Differential inequalities for Iwaniec's q functions / Diamond, Harold G. / Halberstam, H.

When is the product of two Hecke eigenforms an eigenform? / Duke, W.

Grandes valeurs de la fonction dk / Duras, Jean-Luc / Nicolas, Jean-Louis / Robin, Guy

On a multiplicative analogue of Goldbach's conjecture / Elliott, P.D.T.A.

On two conjectures of Sierpiński concerning the arithmetic functions σ and φ / Ford, Kevin / Konyagin, Sergei

Residue classes free of values of Euler's function / Ford, Kevin / Konyagin, Sergei / Pomerance, Carl

Gauss' congruence from Dirichlet's class number formula and generalizations / Fox, Glenn J. / Urbanowicz, Jerzy / Williams, Kenneth S.

Note on a variance in the distribution of primes / Friedlander, J.B. / Goldston, D.A.

The distribution of modular symbols / Goldfeld, Dorian

On the solutions to φ(n) = φ(n + k) / Graham, S. W. / Holt, Jeffrey J. / Pomerance, Carl

Lattice points in the sphere / Heath-Brown, D.R.

On the Barban-Davenport-Halberstam theorem: XII / Hooley, C.

The integer points close to a curve III / Huxley, M.N.

Dirichlet L-functions at the central point / Iwaniec, H. / Sarnak, P.

The Selberg class: a survey / Kaczorowski, J. / Perelli, A.

A radically simplified Selberg zeta function for the modular group / Lewis, John B.

The Goldbach-Vinogradov Theorem / Liu, Jianya / Zhan, Tao

Α Tauber theorem and multiplicative functions on permutations / Manstavic̆ius, Eugenijus

Extreme values of Dirichlet L-functions at 1 / Montgomery, H.L. / Vaughan, R.C.

On the remainder term in the Selberg sieve / Motohashi, Yoichi

Newforms for the modular group on spaces of dimension 2 / Rankin, R.A.

Computational sieving applied to some classical number-theoretic problems / Riele, Herman te

Evaluation of mean-values of products of shifted arithmetical functions, II / Schwarz, Wolfgang

Crible d'Ératosthène et modèle de Kubilius / Tenenbaum, Gérald

Three two-dimensional Weyl steps in the circle problem, III. Exponential integrals and application / Vorhauer, Ulrike Μ.Α. / Wirsing, Eduard

From quadratic functions to modular functions / Zagier, D.

List of contributors

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9783110285581

3110285584

OCLC:

868973887