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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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De Gruyter Proceedings in Mathematics
This book is in the series
De Gruyter Proceedings in Mathematics

Topics

  • Publicly Available

    Frontmatter

    I
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    Preface

    V
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    List of Participants

    VI
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    Table of Contents

    XI
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    An Integral Functional Equation of Ramanujan Related to the Dilogarithm

    1
    Bruce C. Berndt and Ronald J. Evans
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    Cyclotomic Partitions

    7
    David W. Boyd and Hugh L. Montgomery
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    Limit Points of the Salem Numbers

    27
    David W. Boyd and Walter Parry
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    Complexity of Algorithms in Algebraic Number Theory

    37
    Johannes Buchmann
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    Perturbations and Complementary Sequences of Integers

    55
    John R. Burke and William A. Webb
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    On the Number of Sets of Integers With Various Properties

    61
    P.J. Cameron and P. Erdös
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    On the Ramanujan-Nagell Equation and its Generalizations

    81
    Edward L. Cohen
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    The Uniform Group Under Change of Rings

    93
    F. R. DeMeyer and G.R. Greenfield
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    Sieve Auxiliary Functions

    99
    Harold G. Diamond, H. Halberstam and Η-E. Richert
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    Discriminants and Class Numbers of Indefinite Integral Quadratic Forms

    115
    A.G. Earnest
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    On a Conjecture of Roth and Some Related Problems, II

    125
    P. Erdös and A. Sárközy
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    Some New Identities Involving the Partition Function p(n )

    139
    J. Fabrykowski and M.V. Subbarao
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    What is Special about 195? Groups, n th Power Maps and a Problem of Graham

    147
    R.W. Forcade and A.D. Pollington
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    Modular Elliptic Curves and Diophantine Problems

    157
    Dorian Goldfeld
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    Some Conjectures Related to Fermat's Last Theorem

    177
    Andrew Granville
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    Canadian Number Theory Association Unsolved Problems 1988

    193
    Richard K. Guy
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    The Partial Zeta Functions of a Real Quadratic Number Field Evaluated at s = 0

    207
    David R. Hayes
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    Characterizations of the Logarithm as an Additive Arithmetic Function

    227
    Adolf Hildebrand
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    A Note on Dedekind Sums

    239
    Hiroshi Ito
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    A Brief Survey on Distribution Questions for Second Order Linear Recurrences

    249
    Elliot Jacobson
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    Basis for the Polynomial Time Computable Functions

    255
    J.P. Jones and Y. V. Matijasevich
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    Exponential Sums Connected With Quadratic Forms

    271
    M. Jutila
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    On Quartic Fields with the Symmetric Group

    287
    Gérard Kientega and Pierre Barrucand
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    Sets With Non-Squarefree Sums

    299
    C.B. Lacampagne, C.A. Nicol and J.L. Selfridge
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    Class Numbers of Simplest Quartic Fields

    313
    Andrew J. Lazarus
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    On Improving Ramachandra’s Unit Index

    325
    Claude Levesque
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    Rational Functions, Diagonals, Automata and Arithmetic

    339
    Leonard Lipshitz and Alfred J. van der Poorten
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    Discriminants and Permutation Groups

    359
    J. Martinet
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    The Riemann Hypothesis From a Logician’s Point of View

    387
    Yuri V. Matijasevich
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    Triangular Farey Arrays

    401
    Michael E. Mays
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    Solution of the Class Number One Problem For Real Quadratic Fields of Extended Richaud-Degert Type (With One Possible Exception)

    417
    R.A. Mollin and H.C. Williams
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    On Simple Zeros of Certain L-Series

    427
    M. Ram Murty
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    Asymptotic Distribution and Independence of Sequences of g -Adic Integers, II

    441
    Kenji Nagasaka and Jau-Shyong Shiue
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    On the Piltz Divisor Problem With Congruence Conditions

    455
    Werner Georg Nowak
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    On the Pair Correlation of Zeros of Dirichlet L-Functions

    471
    Ali E. Özlük
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    Computational Methods For the Resolution of Diophantine Equations

    477
    Attila Pethö
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    Some Confirming Instances of the Birch-Swinnerton-Dyer Conjecture Over Biquadratic Fields

    493
    Michael I. Rosen
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    Criteria for the Class Number of Real Quadratic Fields to be One

    501
    Ryuji Sasaki
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    An Analog of Hilbert's Irreducibility Theorem

    509
    A. Schinzel
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    On Partitions of the Positive Integers With No x, y, z Belonging to Distinct Classes Satisfying x + y = z

    515
    J. Schönheim
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    Algebraic surfaces derived from unit groups of quaternion algebras

    529
    Kisao Takeuchi
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    Explicit evaluation of certain Eisenstein sums

    553
    Kenneth S. Williams, Kenneth Hardy and Blair K. Spearman
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    Digital Sum Sets

    627
    Samuel Yates
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    New Invariants of Real Quadratic Fields

    635
    Hideo Yokoi
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    A Limit Formula for the Canonical Height of an Elliptic Curve and its Application to Height Computations

    641
    Horst G. Zimmer
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    Backmatter

    660
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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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