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9783110157154

Number Theory in Progress

by ; ;
  • ISBN13:

    9783110157154

  • ISBN10:

    3110157152

  • Format: Hardcover
  • Copyright: 1999-02-01
  • Publisher: De Gruyter

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Table of Contents

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
Mahler's measure and special values of L-functions---some conjectures
27(8)
David W. Boyd
On the distribution of solutions of Thue's 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 l'equation 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 Mahler's 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 Schinzel's 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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