Ramanujan's lost notebook : Part-III

By: Andrews, E.GContributor(s): Berndt, C.BMaterial type: TextTextPublication details: New York: Springer, [c2012]Description: 435 pISBN: 9781493976263Subject(s): MathematicsLOC classification: QA29.R3
Contents:
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 Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions 5.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 Functio 6. Congruences for Generalized Tau Functions 7. Ramanujan’s Forty Identities for the Rogers–Ramanujan Functions 8. Circular Summation
Summary: 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plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988. The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogers–Ramanujan functions, highly composite numbers, and sums of powers of theta functions.
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 3 QA29.R3 (Browse shelf (Opens below)) Available Billno:IN 004 702; Billdate: 2018-03-08 01020
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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 Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions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 Functio
6. Congruences for Generalized Tau Functions
7. Ramanujan’s Forty Identities for the Rogers–Ramanujan Functions
8. Circular Summation

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plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988. The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogers–Ramanujan functions, highly composite numbers, and sums of powers of theta functions.

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