Ramanujan's Lost Notebook

Part III

AvGeorge E. Andrews,Bruce C. Berndt

Häftad, Engelska, 2014

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Beskrivning

Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the third of five volumes that the authors plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988.

Produktinformation

Utgivningsdatum:2014-07-17
Mått:155 x 235 x 29 mm
Vikt:676 g
Format:Häftad
Språk:Engelska
Antal sidor:436
Förlag:Springer-Verlag New York Inc.
ISBN:9781489994974

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

George E. Andrews is currently a professor of mathematics at Pennsylvania State University. Bruce C. Berndt is currently a professor of mathematics at the University of Illinois.

Recensioner i media

"This is the third volume in a series devoted to Ramanujan's lost notebook and related manuscripts. ... The number theory community has to thank the authors for their excellent and devoted work." (C. Baxa, Monatshefte Mathematik, 2015)

Innehållsförteckning

Preface.- Introduction.- 1. Ranks and Cranks, Part I.- 2. Ranks and Cranks, Part II.- 3. Ranks and Cranks, Part III.- 4. Ramanujan's Unpublished Manuscript on the Partition and Tau Functions.- 5. Theorems about the Partition Function on Pages 189 and 182.- 6. Congruences for Generalized Tau Functions on Page 178.- 7. Ramanujan's Forty Identities for the Rogers-Ramanujan Functions.- 8. Circular Summation.- 9. Highly Composite Numbers.- Scratch Work.- Location Guide.- Provenance.- References.