Number Theory in Progress 3110157152, 9783110157154

Table of contents :
Preface
List of participants
Table of contents of Volume I
Table of contents of Volume II
Quelques nouveaux rsultats sur les nombres de Pisot et de Salem
Irreducibility of polynomials and arithmetic progressions with equal products of terms
Mahlers measure and special values of L-functions some conjectures
On the distribution of solutions of Thues equation
Linear independence and divided derivatives of a Drinfeld module. I
Cubic threefolds with six double points
Arithmtique et espaces de modules de revtements
On a polynomial with large number of irreducible factors
Fractions continues paramtres et critre 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 series and their continued fraction expansion
The ultra-divergent series .n>_o 0-2n
Une remarque sur lquation 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 Mahlers measure for polynomials in several variables
Polynomials that divide many A:-nomials
Solution trees of polynomial congruences modulo prime powers
The equation a(xn-1)/(x-1)=byq with ab > 1
Transcendence bases of the algebra of vector invariants for a symmetric group
Some applications of Schinzels 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
Table of contents of Volume II
On some convex lattice polytopes
Digital blocks in linear numeration systems
On irregularities of distribution in shifts and dilation 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 Iwaniecs q functions
When is the product of two Hecke eigenforms an eigenform?
Grandes valeurs de la fonction dk
On a multiplicative analogue of Goldbachs conjecture
On two conjectures of Sierpinski concerning the arithmetic functions . and .
Residue classes free of values of Eulers function
Gauss congruence from Dirichlets class number formula and generalizations
Note on a variance in the distribution of primes
The distribution of modular symbols
On the solutions to .(n) = .(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
A 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 dratosthne et modle 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