Number Theory : New York Seminar 2003 /

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...

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Bibliographic Details
Main Author: Chudnovsky, David
Corporate Author: SpringerLink (Online service)
Other Authors: Chudnovsky, Gregory, Nathanson, Melvyn
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint : Springer, 2004.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • The spanning number and the independence number of a subset of an abelian group
  • A formula related to the Frobenius problem in two dimensions
  • One bit world
  • Use of Pad approximation in spline construction
  • Interactions between number theory and operator algebras in the study of Riemann zeta function (d'apres Bost-Connes and Connes)
  • A hyperelliptic curve with real multiplication of degree two
  • Humbert's conic model and the Kummer surface
  • Arithmeticity and theta correspondence of an orthogonal group
  • Morphis heights and periodic points
  • The elementary proof of the prime number theorem: An historical perspective
  • Additive bases representations and the Erds-Tran conjecture
  • The boundary structure of the sumset in Z^2
  • On NTU's in function fields
  • Continued fractions and quadratic irrationals
  • The inverse problem for representation functions of additive bases
  • On the ubiquity of Sidon sets.