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Ramanujan's Lost Notebook By George E. Andrews

Ramanujan's Lost Notebook by George E. Andrews

Condition - New
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Summary

In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as Ramanujan's Lost Notebook, it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan's life.

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Ramanujan's Lost Notebook Summary

Ramanujan's Lost Notebook: Part I by George E. Andrews

In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as Ramanujan's Lost Notebook, it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan's life. In this book, the notebook is presented with additional material and expert commentary.

Ramanujan's Lost Notebook Reviews

hematicians interested in the work of Ramanujan, will delight in studying this book ... . (Andrew V. Sills, Mathematical Reviews, Issue 2005 m)

Table of Contents

Preface.- Introduction.- The Rogers-Ramanujan Continued Fraction and Its Modular Properties.- Explicit Evaluations of the Rogers-Ramanujan Continued Fraction.- A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions.- The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series.- Finite Rogers-Ramanujan Continued Fractions.- Other q-continued Fractions.- Asymptotic Formulas for Continued Fractions.- Ramanujan's Continued Fraction for (q2; q3)8/(q; q3)8.- The Rogers-Fine Identity.- An Empirical Study of the Rogers-Ramanujan Identities.- Rogers-Ramanujan-Slater Type Identities.- Partial Fractions.- Hadamard Products for Two q-Series.- Integrals of Theta-functions.- Incomplete Elliptic Integrals.- Infinite Integrals of q-Products.- Modular Equations in Ramanujan's Lost Notebook.- Fragments on Lambert Series.- Location Guide.- Provenance.- References.- Index.

Additional information

NLS9781441920621
9781441920621
1441920625
Ramanujan's Lost Notebook: Part I by George E. Andrews
New
Paperback
Springer-Verlag New York Inc.
20100930
438
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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