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Ramanujan's Lost Notebook George E. Andrews

Ramanujan's Lost Notebook By George E. Andrews

Ramanujan's Lost Notebook by George E. Andrews


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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 "Ramanujans Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujans life.

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 "Ramanujans Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujans 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 RogersRamanujan Continued Fraction and Its Modular Properties.- Explicit Evaluations of the RogersRamanujan Continued Fraction.- A Fragment on the RogersRamanujan and Cubic Continued Fractions.- The RogersRamanujan Continued Fraction and Its Connections with Partitions and Lambert Series.- Finite RogersRamanujan Continued Fractions.- Other q-continued Fractions.- Asymptotic Formulas for Continued Fractions.- Ramanujans Continued Fraction for (q2; q3)8/(q; q3)8.- The RogersFine Identity.- An Empirical Study of the RogersRamanujan Identities.- RogersRamanujanSlater 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 Ramanujans Lost Notebook.- Fragments on Lambert Series.- Location Guide.- Provenance.- References.- Index.

Additional information

NPB9780387255293
9780387255293
038725529X
Ramanujan's Lost Notebook: Part I by George E. Andrews
New
Hardback
Springer-Verlag New York Inc.
2005-05-06
438
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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