Number theory : new york seminar 2003数论/会议录

分类: 图书,进口原版书,科学与技术 Science & Techology ,
作者: 本社 编
出 版 社:
出版时间: 2004-1-1字数:版次: 1页数: 272印刷时间: 2004/01/01开本: 16开印次: 1纸张: 胶版纸I S B N : 9780387406558包装: 精装内容简介
This volume marks the 20th anniversary of the New York Number Theory Seminar (NYNTS)。Beginning in 1982,the NYNTS has tried to present a broad spectrum of research in number theory and related fields of mathematics,from physics to geometry to combinatorics and computer science。The list of seminar speakers includes not only Fields Medallists and other established researchers, but also many other younger and less well known mathematicians whose theorems are significant and whose work may become the next big thing in number theory。
目录
1 The Spanning Number and the Independence Number of a Subset of an Abelian Group
Béla Bajnok
2 A Formula Related to the Frobenius Problem in Two Dimensions
Matthias Beck and Sinai Robins
3 One Bit World )
David V. Chudnovsky and Gregory V. Chudnovsky
4 Use of Pad & Approximation in Spline Construction
David V. Chudnovsky and Gregory V. Chudnovsky
5 Interactions between Number Theory and Operator Algebras in the Study of the Riemann Zeta Function (d'aprés Bost-Connes and Connes) )
Paula B. Cohen
6 A Hyperelliptic Curve with Real Multiplication of Degree Two
Harvey Cohn
7 Humbert's Conic Model and the Kummer Surface
Harvey Cohn
8 Arithmeticity and Theta Correspondence of an Orthogonal Group
Ze-Li Dou
9 Morphic Heights and Periodic Points
M. Einsiedler, G. Everest, and T. Ward
10 The Elementary Proof of the Prime Number Theorem: An Historical Perspective
D. Goldfeld
11 Additive Bases Representations and the Erdös-Turán Conjecture
G. Grekos, L. Haddad, C. Helou, and J. Pikho
12 The Boundary Structure of the Sumset in Z2
Shu-Ping Sandie Han
13 On NTUs in Function Fields
Howard Kleiman
14 Continued Fractions and Quadratic Irrationals
Joseph Lewittes
15 The Inverse Problem for Representation Functions of Additive Bases
Melvyn B. Nathanson
16 On the Uniquity of Sidon Sets
Melvyn B. Nathanson