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.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
• MitwirkendeR: Barrucand, Pierre,; Berndt, Bruce C.,; Boyd, David W.,; Buchmann, Johannes,; Burke, John R.,; Cameron, P.J.,; Cohen, Edward L.,; DeMeyer, F. R.,; Diamond, Harold G.,; Earnest, A.G.,; Erdös, P.,; Evans, Ronald J.,; Fabrykowski, J.,; Forcade, R.W.,; Goldfeld, Dorian,; Granville, Andrew,; Greenfield, G.R.,; Guy, Richard K.,; Halberstam, H.,; Hardy, Kenneth,; Hayes, David R.,; Hildebrand, Adolf,; Ito, Hiroshi,; Jacobson, Elliot,; Jones, J.P.,; Jutila, M.,; Kientega, Gérard,; Lacampagne, C.B.,; Lazarus, Andrew J.,; Levesque, Claude,; Lipshitz, Leonard,; Martinet, J.,; Matijasevich, Y. V.,; Matijasevich, Yuri V.,; Mays, Michael E.,; Mollin, R.A.,; Montgomery, Hugh L.,; Murty, M. Ram,; Nagasaka, Kenji,; Nicol, C.A.,; Nowak, Werner Georg,; Parry, Walter,; Pethö, Attila,; Pollington, A.D.,; Poorten, Alfred J. van der,; Richert, Η-E.,; Rosen, Michael I.,; Sasaki, Ryuji,; Schinzel, A.,; Schönheim, J.,; Selfridge, J.L.,; Shiue, Jau-Shyong,; Spearman, Blair K.,; Subbarao, M.V.,; Sárközy, A.,; Takeuchi, Kisao,; Webb, William A.,; Williams, H.C.,; Williams, Kenneth S.,; Yates, Samuel,; Yokoi, Hideo,; Zimmer, Horst G.,; Özlük, Ali E.,
• HerausgeberIn: Mollin, Richard,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2016]; ©1990
• Year of Publication: 2016
• Edition: Reprint 2016
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (659 p.) :; Zahlr. Abb.

Table of Contents

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