Surveys in Number Theory

Papers from the Millennial Conference on Number Theory

Bruce Berndt, M.A. Bennett, N. Boston , H.G. Diamond

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English

CRC Press
02 October 2019

Number theory

A selection of the most accessible survey papers from the Millennial Conference on Number Theory. Presented and compiled by a group of international experts, these papers provide a current view of the state of the art and an outlook into the future of number theory research. This book serves as an inspiration to graduate students and as a reference for research mathematicians.

Edited by: Bruce Berndt, M.A. Bennett, N. Boston, H.G. Diamond, A.J. Hildebrand
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 453g
ISBN: 9781138454286
ISBN 10: 1138454281
Pages: 372
Publication Date: 02 October 2019
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Hardback
Publisher's Status: Active

Preface -- Completeness Problems and the Riemann Hypothesis: An Annotated Bibliography/Michel Balazard -- A Survey on Pure and Mixed Exponential Sums Modulo Prime Powers/Todd Cochrane and Zhiyong Zheng -- One Hundred Years of Normal Numbers/Glyn Harman -- On Theorems of Barban-Davenport-Halberstam Type/C. Hooley -- Integer Points, Exponential Sums and the Riemann Zeta Function/?. N. Huxley -- Recent Developments in Automorphic Forms and Applications/Wen-Ching Winnie Li -- Convergence of Corresponding Continued Fractions/Lisa Lorentzen -- On the Analytic Continuation of Various Multiple Zeta-Functions/Kohji Matsumoto -- Quelques Remarques sur la Theorie d’lwasawa des Courbes Elliptiques/Bernadette Perrin-Riou -- Computing Rational Points on Curves/Bjorn Poonen -- G. H. Hardy As I Knew Him/Robert A. Rankin -- Some Applications of Diophantine Approximation/R. Tijdeman -- Waring’s Problem: A Survey/R. C. Vaughan and T. D. Wooley -- Solving the Pell Equation/H C. Williams.

Bruce Berndt

Reviews for Surveys in Number Theory: Papers from the Millennial Conference on Number Theory

This collection gives an integrated picture on main streams in contemporary number theory. As such, it can be recommended to active number theorists and also to a general mathematical audience. -EMS Newsletter, December 2003