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Number theory in the spirit of Ramanujan

Autor: Bruce C Berndt
Verlag: Providence, R.I. : American Mathematical Society, ©2006.
Serien: Student mathematical library, v. 34.
Ausgabe/Medienart   Gedrucktes Buch : EnglischAlle Ausgaben und Medienarten anzeigen
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"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  Weiterlesen…
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Name: Srinivasa Ramanujan Aiyangar; Ramanujan Aiyangar, Srinivasa <1887-1920>; Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan
Medienart: Internetquelle
Dokumenttyp Buch, Internet-Ressource
Alle Autoren: Bruce C Berndt
ISBN: 0821841785 9780821841785
OCLC-Nummer: 67346405
Beschreibung: xix, 187 pages ; 22 cm.
Inhalt: 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.
Serientitel: Student mathematical library, v. 34.
Verfasserangabe: Bruce C. Berndt.

Abstract:

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  Weiterlesen…

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