Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | 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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