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Não Ficção QA241.SPR FCT 82462 (Browse shelf) 1 Available
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QA241.SPR FCT 81996 A readable introduction to real mathematics QA241.SPR FCT 82153 Elementary number theory, cryptography and codes QA241.SPR FCT 82294 Teoria dei numeri QA241.SPR FCT 82462 Eta products and theta series identities QA241.SPR FCT 82929 Structured matrix based methods for approximate polynomial GCD QA241.SPR FCT 94279 Introduction to modern number theory QA241.SPR FCT 94641 Number theory

Colocação: Online

This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields, and with Eisenstein series. The author brings to the public the large number of identities that have been discovered over the past 20 years, the majority of which have not been published elsewhere. The book will be of interest to graduate students and scholars in the field of number theory and, in particular, modular forms. It is not an introductory text in this field. Nevertheless, some theoretical background material is presented that is important for understanding the examples in Part II. In Part I relevant definitions and essential theorems -- such as a complete proof of the structure theorems for coprime residue class groups in quadratic number fields that are not easily accessible in the literature -- are provided. Another example is a thorough description of an algorithm for listing all eta products of given weight and level, together with proofs of some results on the bijection between these eta products and lattice simplices.

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