Number Theory : : Proceedings of the First Conference of the Canadian Number Theory Association held at the Banff Center, Banff, Alberta, April 17–27, 1988 / / ed. by Richard Mollin.
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Other title: | Frontmatter -- Preface -- List of Participants -- Table of Contents -- An Integral Functional Equation of Ramanujan Related to the Dilogarithm -- Cyclotomic Partitions -- Limit Points of the Salem Numbers -- Complexity of Algorithms in Algebraic Number Theory -- Perturbations and Complementary Sequences of Integers -- On the Number of Sets of Integers With Various Properties -- On the Ramanujan-Nagell Equation and its Generalizations -- The Uniform Group Under Change of Rings -- Sieve Auxiliary Functions -- Discriminants and Class Numbers of Indefinite Integral Quadratic Forms -- On a Conjecture of Roth and Some Related Problems, II -- Some New Identities Involving the Partition Function p(n ) -- What is Special about 195? Groups, n th Power Maps and a Problem of Graham -- Modular Elliptic Curves and Diophantine Problems -- Some Conjectures Related to Fermat's Last Theorem -- Canadian Number Theory Association Unsolved Problems 1988 -- The Partial Zeta Functions of a Real Quadratic Number Field Evaluated at s = 0 -- Characterizations of the Logarithm as an Additive Arithmetic Function -- A Note on Dedekind Sums -- A Brief Survey on Distribution Questions for Second Order Linear Recurrences -- Basis for the Polynomial Time Computable Functions -- Exponential Sums Connected With Quadratic Forms -- On Quartic Fields with the Symmetric Group -- Sets With Non-Squarefree Sums -- Class Numbers of Simplest Quartic Fields -- On Improving Ramachandra’s Unit Index -- Rational Functions, Diagonals, Automata and Arithmetic -- Discriminants and Permutation Groups -- The Riemann Hypothesis From a Logician’s Point of View -- Triangular Farey Arrays -- Solution of the Class Number One Problem For Real Quadratic Fields of Extended Richaud-Degert Type (With One Possible Exception) -- On Simple Zeros of Certain L-Series -- Asymptotic Distribution and Independence of Sequences of g -Adic Integers, II -- On the Piltz Divisor Problem With Congruence Conditions -- On the Pair Correlation of Zeros of Dirichlet L-Functions -- Computational Methods For the Resolution of Diophantine Equations -- Some Confirming Instances of the Birch-Swinnerton-Dyer Conjecture Over Biquadratic Fields -- Criteria for the Class Number of Real Quadratic Fields to be One -- An Analog of Hilbert's Irreducibility Theorem -- On Partitions of the Positive Integers With No x, y, z Belonging to Distinct Classes Satisfying x + y = z -- Algebraic surfaces derived from unit groups of quaternion algebras -- Explicit evaluation of certain Eisenstein sums -- Digital Sum Sets -- New Invariants of Real Quadratic Fields -- A Limit Formula for the Canonical Height of an Elliptic Curve and its Application to Height Computations -- Backmatter |
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Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110848632 9783110637199 |
DOI: | 10.1515/9783110848632 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | ed. by Richard Mollin. |
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