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Number theory for the millennium. II /

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개인저자Bennett, M. A. (Michael A.), 1966-, editor.
서명/저자사항Number theory for the millennium.II /edited by M.A. Bennett [and 5 others].
판사항First edition.
발행사항Boca Raton : CRC Press, 2024.
형태사항1 online resource (466 pages).
소장본 주기OCLC control number change
ISBN9780138747060
0138747067

9780429600364
0429600364
9780429605888
0429605889
9780429611407
0429611404
기타표준부호10.1201/9780138747060doi
서지주기Includes bibliographical references.
내용주기Volume 2: Coverings of the Integers Associated with an Irreducibility Theorem of A. Schinzel; Zero-free Regions for the Riemann Zeta Function; Asymptotic Lower Bounds and Formulas for Diophantine Inequalities; Shifted and Shiftless Partition Identities; Deformations of Pseudorepresentations Coming from Reducible Representations; The Sum of Multiplicative Functions Arising in Selberg's Sieve; Siegel Modular Forms and Hecke Operators in Degree 2; One Hundred Years of Normal Numbers; A Reciprocity Relation Between Some Cyclotomic Integers; On the Spectrum of the Transfer Operator for Continued Fractions with Restricted Partial Quotients; On Theorems of Barban-Davenport-Halberstam Type; Elementary Evaluation of Certain Convolution Sums Involving Divisor Functions; Integer Points, Exponential Sums and the Riemann Zeta Function; Euler Products and Abstract Trace Formulas; On a Binary Diophantine Inequality Involving Prime Powers; Recent Developments in Automorphic Forms and Applications; Convergence of Corresponding Continued Fractions; Reducible Arithmetic Functions, Asymptotic Mean Behavior, and Polylogarithms; On the Probability of Combinatorial Structures Without Some Components; Asymmetries in the Shanks-Renyi Prime Number Race; On the Analytic Continuation of Various Multiple Zeta-Functions; Three-Term Relations for Some Analogues of the Dedekind Sum
요약Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field. The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams. The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.
회의명Millennial Conference on Number Theory(2000 :University of Illinois at Urbana-Champaign)
일반주제명Number theory -- Congresses.
The?orie des nombres -- Congre?s.
MATHEMATICS / General
MATHEMATICS / Number Theory
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