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.
Preface v List of participants vii Table of contents of Volume I xi Table of contents of Volume II xv Quelques nouveaux resultats sur les nombres de Pisot et de Salem 1(10) M.J. Bertin Irreducibility of polynomials and arithmetic progressions with equal products of terms 11(16) F. Beukers T.N. Shorey R. Tijdeman Mahlers measure and special values of L-functions---some conjectures 27(8) David W. Boyd On the distribution of solutions of Thues equation 35(12) Bela Brindza Akos Pinter Alfred J. van der Poorten Michel Waldschmidt Linear independence and divided derivatives of a Drinfeld module. I 47(16) W. Dale Brownawell Cubic threefolds with six double points 63(12) D.F. Coray D.J. Lewis N.I. Shepherd-Barron Sir Peter Swinnerton-Dyer Arithmetique et espaces de modules de revetements 75(28) Pierre Debes On a polynomial with large number of irreducible factors 103(8) A. Dubickas Fractions continues parametrees et critere de Rabinowitsch 111(10) E. Dubois et A. Farhane The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group 121(22) Jan-Hendrik Evertse Hans Peter Schlickewei On the factorization of polynomials with small Euclidean norm 143(22) Michael Filaseta Small Salem numbers 165(4) V. Flammang M. Grandcolas G. Rhin Variables separated polynomials, the genus 0 problem and moduli spaces 169(60) Michael D. Fried Some polynomial identities related to the abc-conjecture 229(8) George Greaves Abderrahmane Nitaj On the distribution of solutions of decomposable form equations 237(30) K. Gyory Finding small degree factors of lacunary polynomials 267(10) H.W. Lenstra, Jr. On the factorization of lacunary polynomials 277(16) H.W. Lenstra, Jr. Specializations of some hyperelliptic Jacobians 293(16) D.W. Masser Salem numbers and Pisot numbers from stars 309(12) J.F. McKee P. Rowlinson C.J. Smyth On lacunary formal series and their continued fraction expansion 321(6) Michel Mendes France Alfred J. van der Poorten Jeffrey Shallit The ultra-divergent series 327(10) M. Mendes France A. Sebbar Une remarque sur lequation de Catalan 337(4) Maurice Mignotte The work of Andrzej Schinzel in number theory 341(18) Wladyslaw Narkiewicz Algebraic curves with many rational points over finite fields of characteristic 2 359(22) Harald Niederreiter Chaoping Xing Arf equivalence I 381(14) Robert Perlis The number of irreducible factors of a polynomial, III 395(12) Christopher G. Pinner Jeffrey D. Vaaler Identities with covering systems and Appell polynomials 407(12) Stefan Porubsky Binary recurring sequences and powers, I 419(12) Paulo Ribenboim On Mahlers measure for polynomials in several variables 431(14) Imre Z. Ruzsa Polynomials that divide many k-nomials 445(6) Hans Peter Schlickewei Carlo Viola Solution trees of polynomial congruences modulo prime powers 451(22) Wolfgang M. Schmidt The equation 473(14) T.N. Shorey Transcendence bases of the algebra of vector invariants for a symmetric group 487(16) Serguei A. Stepanov Some applications of Schinzels Hypothesis to Diophantine equations 503(28) Sir Peter Swinnerton-Dyer On the Milnor exact sequence for rational quadratic forms 531(8) Kazimierz Szymiczek Some notes on monodromy groups of polynomials 539(14) Gerhard Turnwald Integer valued entire functions on Cartesian products 553(24) Michel Waldschmidt On a conjecture of Schinzel and Tijdeman 577(6) P.G. Walsh List of contributors 583
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