Number Theory Tradition and Modernization /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Zhang, Wenpeng (Editor), Tanigawa, Yoshio (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2006.
• Series: Developments in Mathematics, 15
• Subjects: Mathematics.; Approximation theory.; Fourier analysis.; Special functions.; Number theory.; Number Theory.; Special Functions.; Approximations and Expansions.; Fourier Analysis.

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 smoot...

Table of Contents:

• 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.