Atnaujinkite slapukų nuostatas

Number Theory: Tradition and Modernization Softcover reprint of hardcover 1st ed. 2006 [Minkštas viršelis]

Edited by , Edited by
  • Formatas: Paperback / softback, 234 pages, aukštis x plotis: 235x155 mm, weight: 454 g, XXII, 234 p., 1 Paperback / softback
  • Serija: Developments in Mathematics 15
  • Išleidimo metai: 19-Nov-2010
  • Leidėjas: Springer-Verlag New York Inc.
  • ISBN-10: 1441940251
  • ISBN-13: 9781441940254
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 234 pages, aukštis x plotis: 235x155 mm, weight: 454 g, XXII, 234 p., 1 Paperback / softback
  • Serija: Developments in Mathematics 15
  • Išleidimo metai: 19-Nov-2010
  • Leidėjas: Springer-Verlag New York Inc.
  • ISBN-10: 1441940251
  • ISBN-13: 9781441940254
Kitos knygos pagal šią temą:
Number Theory: Tradition and Modernization is a collection of survey and research papers on various topics in number theory. Though the topics and descriptive details appear varied, they are unified by two underlying principles: first, making everything readable as a book, and second, making a smooth transition from traditional approaches to modern ones by providing a rich array of examples.



The chapters are presented in quite different in depth and cover a variety of descriptive details, but the underlying editorial principle enables the reader to have a unified glimpse of the developments of number theory. Thus, on the one hand, the traditional approach is presented in great detail, and on the other, the modernization of the methods in number theory is elaborated. The book emphasizes a few common features such as functional equations for various zeta-functions, modular forms, congruence conditions, exponential sums, and algorithmic aspects.
Positive Finiteness of Number Systems.- On a Distribution Property of
the Residual Order of a (mod p) IV.- Diagonalizing Bad Hecke Operators on
Spaces of Cusp Forms.- On the Hilbert-Kamke and the Vinogradov Problems in
Additive Number Theory.- The Goldbach-Vinogradov Theorem in Arithmetic
Progressions.- Densities of Sets of Primes Related to Decimal Expansion of
Rational Numbers.- Spherical Functions on p-Adic Homogeneous Spaces.- On
Modular forms of Weight (6n + 1)/5 Satisfying a Certain Differential
Equation.- Some Aspects of the Modular Relation.- Zeros of Automorphic
L-Functions and Noncyclic Base Change.- Analytic Properties of Multiple
Zeta-Functions in Several Variables.- Cubic Fields and Mordell Curves.-
Towards the Reciprocity of Quartic Theta-Weyl Sums, and Beyond.- Explicit
Congruences for Euler Polynomials.- Square-Free Integers as Sums of Two
Squares.- Some Applications of L-Functions to the Mean Value of the Dedekind
Sums and Cochrane Sums.