Algebraic Number Theory and Diophantine Analysis

by Halter-Koch, Franz

• ISBN13: 9783110163049
• ISBN10: 3110163047
• Format: Hardcover
• Copyright: 2000-06-01
• Publisher: De Gruyter

Table of Contents

Preface	v
List of participants	xi
Monochromatic solutions of Diophantine equations	1	(10)
Sukumar Das Adhikari
R. Thangadurai
Cubic Pisot units with finite beta expansions	11	(16)
Shigeki Akiyama
Small values of diagonal cubic forms	27	(20)
Jorg Brudern
On the approximation by algebraic numbers with bounded degree	47	(8)
Yann Bugeaud
Galois module structure and Kummer theory for Lubin-Tate formal groups	55	(14)
Nigel P. Byott
Galois module structure for wild extensions	69	(24)
Ph. Cassou-Nogues
M. J. Taylor
Multiplicative dependence and bounded height, an example	93	(10)
Paula B. Cohen
Umberto Zannier
The distribution of patterns in digital expansions	103	(20)
Michael Drmota
A note on Diophantine quintuples	123	(6)
Andrej Dujella
Symmetric improvements of Liouville's inequality: A survey	129	(14)
Jan-Hendrik Evertse
On the distribution of the sums of binomial coefficients modulo a prime	143	(10)
Henri Faure
Computing power integral bases in algebraic number fields II	153	(10)
Istvan Gaal
Cuspidal divisor class groups of modular curves	163	(28)
Ernst-Ulrich Gekeler
Discriminant form and index form equations	191	(24)
Kalman Gyory
On general families of parametrized Thue equations	215	(24)
Clemens Heuberger
Computing elliptic curves having good reduction everywhere over quadratic fields II	239	(10)
Masanari Kida
The class number one problem for the dihedral CM-fields	249	(28)
Yann Lefeuvre
Stephane Louboutin
On Tate---Shafarevich groups of some elliptic curves	277	(16)
Franz Lemmermeyer
Polylogarithms and arithmetic functions	293	(12)
Lutz G. Lucht
On the diophantine equation xn-1/x-1 = yq	305	(6)
M. Mignotte
Distribution of Kronecker sequences	311	(20)
Nikolai Moshchevitin
Finite polynomial orbits. A survey	331	(8)
W. Narkiewicz
Diophantine approximation in Rs: On a method of Mordell and Armitage	339	(12)
Werner Georg Nowak
S-integer points on elliptic curves, theory and practice	351	(14)
Attila Petho
Horst G. Zimmer
Factorization in some orders with a PID as integral closure	365	(26)
Martine Picavet-L'Hermitte
Topologies induced by systems of divisors	391	(14)
Stefan Porubsky
Hartman and Beatty bisequences	405	(18)
Jorg Schmeling
Endre Szabo
Reinhard Winkler
Moment problem of the type ƒ01ƒ01 F (x, y)dg(x)dg(y) = 0	423	(22)
Oto Strauch
Conner's Level Condition	445	(8)
Kazimierz Szymiczek
Remarks on Iwasawa λ-invariants	453	(14)
Hisao Taya
Exact covers of balanced sequences and Fraenkel's conjecture	467	(18)
R. Tijdeman
Representations of large integers as sums of two primes of special type	485	(12)
D. I. Tolev
Conjectures for large transcendence degree	497	(24)
Michel Waldschmidt
On Lambert's proof of the irrationality of π	521	(10)
Rolf Wallisser
Diophantine equations of the form aX4 - bY2 = ±1	531
P. G. Walsh