Algebraic Number Theory and Diophantine Analysis: Proceedings of the International Conference held in Graz, Austria, August 30 to September 5, 1998

by F. Halter-Koch (Editor), Robert F. Tichy (Editor)

Overview

No detailed description available for "Algebraic Number Theory and Diophantine Analysis".

Product Details

ISBN-13:	9783110163049
Publisher:	De Gruyter
Publication date:	05/17/2000
Series:	De Gruyter Proceedings in Mathematics
Edition description:	Reprint 2011
Pages:	571
Product dimensions:	6.69(w) x 9.45(h) x (d)
Age Range:	18 Years

Table of Contents

	Preface	v
	List of participants	xi
	Monochromatic solutions of Diophantine equations	1
	Cubic Pisot units with finite beta expansions	11
	Small values of diagonal cubic forms	27
	On the approximation by algebraic numbers with bounded degree	47
	Galois module structure and Kummer theory for Lubin--Tate formal groups	55
	Galois module structure for wild extensions	69
	Multiplicative dependence and bounded height, an example	93
	The distribution of patterns in digital expansions	103
	A note on Diophantine quintuples	123
	Symmetric improvements of Liouville's inequality: A survey	129
	On the distribution of the sums of binomial coefficients modulo a prime	143
	Computing power integral bases in algebraic number fields II	153
	Cuspidal divisor class groups of modular curves	163
	Discriminant form and index form equations	191
	On general families of parametrized Thue equations	215
	Computing elliptic curves having good reduction everywhere over quadratic fields II	239
	The class number one problem for the dihedral CM-fields	249
	On Tate--Shafarevich groups of some elliptic curves	277
	Polylogarithms and arithmetic functions	293
	On the diophantine equation (x[superscript n] - 1)/(x - 1) = y[superscript q]	305
	Distribution of Kronecker sequences	311
	Finite polynomial orbits. A survey	331
	Diophantine approximation in R[superscript s]: On a method of Mordell and Armitage	339
	S-integer points on elliptic curves, theory and practice	351
	Factorization in some orders with a PID as integral closure	365
	Topologies induced by systems of divisors	391
	Hartman and Beatty bisequences	405
	Moment problem of the type [function of superscript 1 subscript 0] [function of superscript 1 subscript 0] F(x, y)dg(x)dg(y) = 0	423
	Conner's Level Condition	445
	Remarks on Iwasawa [lambda]-invariants	453
	Exact covers of balanced sequences and Fraenkel's conjecture	467
	Representations of large integers as sums of two primes of special type	485
	Conjectures for large transcendence degree	497
	On Lambert's proof of the irrationality of [pi]	521
	Diophantine equations of the form aX[superscript 4] - bY[superscript 2] = [plus or minus]1	531

Editorial Reviews

Most of the 35 papers presented at the September 1998 conference discuss algebraic number theory, diophantine and algorithmic problems, diophantine equations, uniform distribution, and discrepancy theory. Topics include small values of diagonal cubic forms, galois module structure for wild extensions, the class number one problem for the dihedral CM-fields, factorization in some orders with a PID as integral closure, and representation of large integers as sums of two primes of special type. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews