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Number theory in the spirit of Ramanujan

Auteur : Bruce C Berndt
Éditeur : Providence, R.I. : American Mathematical Society, ©2006.
Collection : Student mathematical library, v. 34.
Édition/format :   Livre imprimé : EnglishVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
"The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Bruce Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate  Lire la suite...
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Détails

Personne nommée : Srinivasa Ramanujan Aiyangar; Ramanujan Aiyangar, Srinivasa <1887-1920>; Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan
Type d’ouvrage : Ressource Internet
Format : Book, Internet Resource
Tous les auteurs / collaborateurs : Bruce C Berndt
ISBN : 0821841785 9780821841785
Numéro OCLC : 67346405
Description : xix, 187 pages ; 22 cm.
Contenu : Introduction --
Congruences for [partition function] and [tau function] --
Sums of squares and sums of triangular numbers --
Eisenstein series --
The connection between hypergeometric functions and theta functions --
Applications of the primary theorem of chapter 5 --
The Rogers-Ramanujan continued fraction.
Titre de collection : Student mathematical library, v. 34.
Responsabilité : Bruce C. Berndt.

Résumé :

Ramanujan is recognized as one of the great number theorists of the twentieth century. This book provides an introduction to his work in number theory. It also examines subjects that have a rich  Lire la suite...

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