Number Theory: Proceedings of the First Conference of the Canadian Number Theory Association held at the Banff Center, Banff, Alberta, April 17–27, 1988

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Number Theory

Proceedings of the First Conference of the Canadian Number Theory Association held at the Banff Center, Banff, Alberta, April 17–27, 1988

Edited by: Richard Mollin

Language: English

Published/Copyright: 1990

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This book is in the series

De Gruyter Proceedings in Mathematics

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Mathematics General Mathematics

Frontmatter Publicly Available Download PDF	I
Preface Requires Authentication Unlicensed Licensed	V
List of Participants Requires Authentication Unlicensed Licensed	VI
Table of Contents Publicly Available Download PDF	XI
An Integral Functional Equation of Ramanujan Related to the Dilogarithm Bruce C. Berndt and Ronald J. Evans Requires Authentication Unlicensed Licensed	1
Cyclotomic Partitions David W. Boyd and Hugh L. Montgomery Requires Authentication Unlicensed Licensed	7
Limit Points of the Salem Numbers David W. Boyd and Walter Parry Requires Authentication Unlicensed Licensed	27
Complexity of Algorithms in Algebraic Number Theory Johannes Buchmann Requires Authentication Unlicensed Licensed	37
Perturbations and Complementary Sequences of Integers John R. Burke and William A. Webb Requires Authentication Unlicensed Licensed	55
On the Number of Sets of Integers With Various Properties P.J. Cameron and P. Erdös Requires Authentication Unlicensed Licensed	61
On the Ramanujan-Nagell Equation and its Generalizations Edward L. Cohen Requires Authentication Unlicensed Licensed	81
The Uniform Group Under Change of Rings F. R. DeMeyer and G.R. Greenfield Requires Authentication Unlicensed Licensed	93
Sieve Auxiliary Functions Harold G. Diamond, H. Halberstam and Η-E. Richert Requires Authentication Unlicensed Licensed	99
Discriminants and Class Numbers of Indefinite Integral Quadratic Forms A.G. Earnest Requires Authentication Unlicensed Licensed	115
On a Conjecture of Roth and Some Related Problems, II P. Erdös and A. Sárközy Requires Authentication Unlicensed Licensed	125
Some New Identities Involving the Partition Function p(n ) J. Fabrykowski and M.V. Subbarao Requires Authentication Unlicensed Licensed	139
What is Special about 195? Groups, n th Power Maps and a Problem of Graham R.W. Forcade and A.D. Pollington Requires Authentication Unlicensed Licensed	147
Modular Elliptic Curves and Diophantine Problems Dorian Goldfeld Requires Authentication Unlicensed Licensed	157
Some Conjectures Related to Fermat's Last Theorem Andrew Granville Requires Authentication Unlicensed Licensed	177
Canadian Number Theory Association Unsolved Problems 1988 Richard K. Guy Requires Authentication Unlicensed Licensed	193
The Partial Zeta Functions of a Real Quadratic Number Field Evaluated at s = 0 David R. Hayes Requires Authentication Unlicensed Licensed	207
Characterizations of the Logarithm as an Additive Arithmetic Function Adolf Hildebrand Requires Authentication Unlicensed Licensed	227
A Note on Dedekind Sums Hiroshi Ito Requires Authentication Unlicensed Licensed	239
A Brief Survey on Distribution Questions for Second Order Linear Recurrences Elliot Jacobson Requires Authentication Unlicensed Licensed	249
Basis for the Polynomial Time Computable Functions J.P. Jones and Y. V. Matijasevich Requires Authentication Unlicensed Licensed	255
Exponential Sums Connected With Quadratic Forms M. Jutila Requires Authentication Unlicensed Licensed	271
On Quartic Fields with the Symmetric Group Gérard Kientega and Pierre Barrucand Requires Authentication Unlicensed Licensed	287
Sets With Non-Squarefree Sums C.B. Lacampagne, C.A. Nicol and J.L. Selfridge Requires Authentication Unlicensed Licensed	299
Class Numbers of Simplest Quartic Fields Andrew J. Lazarus Requires Authentication Unlicensed Licensed	313
On Improving Ramachandra’s Unit Index Claude Levesque Requires Authentication Unlicensed Licensed	325
Rational Functions, Diagonals, Automata and Arithmetic Leonard Lipshitz and Alfred J. van der Poorten Requires Authentication Unlicensed Licensed	339
Discriminants and Permutation Groups J. Martinet Requires Authentication Unlicensed Licensed	359
The Riemann Hypothesis From a Logician’s Point of View Yuri V. Matijasevich Requires Authentication Unlicensed Licensed	387
Triangular Farey Arrays Michael E. Mays Requires Authentication Unlicensed Licensed	401
Solution of the Class Number One Problem For Real Quadratic Fields of Extended Richaud-Degert Type (With One Possible Exception) R.A. Mollin and H.C. Williams Requires Authentication Unlicensed Licensed	417
On Simple Zeros of Certain L-Series M. Ram Murty Requires Authentication Unlicensed Licensed	427
Asymptotic Distribution and Independence of Sequences of g -Adic Integers, II Kenji Nagasaka and Jau-Shyong Shiue Requires Authentication Unlicensed Licensed	441
On the Piltz Divisor Problem With Congruence Conditions Werner Georg Nowak Requires Authentication Unlicensed Licensed	455
On the Pair Correlation of Zeros of Dirichlet L-Functions Ali E. Özlük Requires Authentication Unlicensed Licensed	471
Computational Methods For the Resolution of Diophantine Equations Attila Pethö Requires Authentication Unlicensed Licensed	477
Some Confirming Instances of the Birch-Swinnerton-Dyer Conjecture Over Biquadratic Fields Michael I. Rosen Requires Authentication Unlicensed Licensed	493
Criteria for the Class Number of Real Quadratic Fields to be One Ryuji Sasaki Requires Authentication Unlicensed Licensed	501
An Analog of Hilbert's Irreducibility Theorem A. Schinzel Requires Authentication Unlicensed Licensed	509
On Partitions of the Positive Integers With No x, y, z Belonging to Distinct Classes Satisfying x + y = z J. Schönheim Requires Authentication Unlicensed Licensed	515
Algebraic surfaces derived from unit groups of quaternion algebras Kisao Takeuchi Requires Authentication Unlicensed Licensed	529
Explicit evaluation of certain Eisenstein sums Kenneth S. Williams, Kenneth Hardy and Blair K. Spearman Requires Authentication Unlicensed Licensed	553
Digital Sum Sets Samuel Yates Requires Authentication Unlicensed Licensed	627
New Invariants of Real Quadratic Fields Hideo Yokoi Requires Authentication Unlicensed Licensed	635
A Limit Formula for the Canonical Height of an Elliptic Curve and its Application to Height Computations Horst G. Zimmer Requires Authentication Unlicensed Licensed	641
Backmatter Requires Authentication Unlicensed Licensed	660

Publishing information

Pages and Images/Illustrations in book

eBook published on:

December 19, 2016

eBook ISBN:

9783110848632

Hardcover published on:

January 1, 1990

Hardcover ISBN:

9783110117233

Edition:

Reprint 2016

Pages and Images/Illustrations in book

Front matter:

13

Main content:

659

Other:

Zahlr. Abb.

https://doi.org/10.1515/9783110848632

eBook ISBN: 9783110848632

Hardcover ISBN: 9783110117233

Keywords for this book

Zahlentheorie

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Number Theory

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