Surveys in Number Theory

• Corporate Author: SpringerLink (Online service)
• Other Authors: Alladi, Krishnaswami (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2008.
• Series: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 17
• Subjects: Mathematics.; Functions of complex variables.; Special functions.; Number theory.; Number Theory.; Special Functions.; Functions of a Complex Variable.

Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on mul...

Table of Contents:

• A Survey of Multipartitions Congruences and Identities
• Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook
• Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas
• Theta Functions in Complex Analysis and Number Theory
• Inverse Problems for Representation Functions in Additive Number Theory
• Mock Theta Functions Ranks and Maass Forms
• Elliptic Functions and Transcendence.