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

Algebraic Number Theory and Diophantine Analysis

Proceedings of the International Conference held in Graz, Austria, August 30 to September 5, 1998

By: Franz Halter-Koch (Editor), Robert F. Tichy (Editor)

Hardcover

Published: 17th May 2000
For Ages: 22+ years old
Ships: 7 to 10 business days
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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Preface
List of participants
Monochromatic solutions of Diophantine equationsp. 1
Cubic Pisot units with finite beta expansionsp. 11
Small values of diagonal cubic formsp. 27
On the approximation by algebraic numbers with bounded degreep. 47
Galois module structure and Kummer theory for Lubin-Tate formal groupsp. 55
Galois module structure for wild extensionsp. 69
Multiplicative dependence and bounded height, an examplep. 93
The distribution of patterns in digital expansionsp. 103
A note on Diophantine quintuplesp. 123
Symmetric improvements of Liouville's inequality: A surveyp. 129
On the distribution of the sums of binomial coefficients modulo a primep. 143
Computing power integral bases in algebraic number fields IIp. 153
Cuspidal divisor class groups of modular curvesp. 163
Discriminant form and index form equationsp. 191
On general families of parametrized Thue equationsp. 215
Computing elliptic curves having good reduction everywhere over quadratic fields IIp. 239
The class number one problem for the dihedral CM-fieldsp. 249
On Tate-Shafarevich groups of some elliptic curvesp. 277
Polylogarithms and arithmetic functionsp. 293
On the diophantine equation [actual symbol not reproducible]p. 305
Distribution of Kronecker sequencesp. 311
Finite polynomial orbits. A surveyp. 331
Diophantine approximation in R[superscript s]: On a method of Mordell and Armitagep. 339
S-integer points of elliptic curves, theory and practicep. 351
Factorization in some orders with a PID as integral closurep. 365
Topologies induced by systems of divisorsp. 391
Hartman and Beatty bisequencesp. 405
Moment problem of the type [actual symbol not reproducible]p. 423
Conner's Level Conditionp. 445
Remarks on Iwasawa [lambda]-invariantsp. 453
Exact covers of balanced sequences and Fraenkel's conjecturep. 467
Representations of large integers as sums of two primes of special typep. 485
Conjectures for large transcendence degreep. 497
On Lambert's proof of the irrationality of [pi]p. 521
Diophantine equations of the form [actual symbol not reproducible]p. 531
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110163049
ISBN-10: 3110163047
Series: De Gruyter Proceedings in Mathematics
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 571
Published: 17th May 2000
Country of Publication: DE
Dimensions (cm): 17.37 x 24.38  x 3.53
Weight (kg): 1.05