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Ramanujan's Notebooks Bruce C. Berndt

Ramanujan's Notebooks By Bruce C. Berndt

Ramanujan's Notebooks by Bruce C. Berndt


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Summary

In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the task of editing Ramanujans notebooks: proofs are provided to theorems not yet proven in previous literature, and many results are so startling as to be unique.

Ramanujan's Notebooks Summary

Ramanujan's Notebooks: Part III by Bruce C. Berndt

Upon Ramanujans death in 1920, G. H. Hardy strongly urged that Ramanujans notebooks be published and edited. In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the task of editing Ramanujans notebooks: proofs are provided to theorems not yet proven in previous literature, and many results are so startling as to be unique.

Table of Contents

16 q-Series and Theta-Functions.- 17 Fundamental Properties of Elliptic Functions.- 18 The Jacobian Elliptic Functions.- 19 Modular Equations of Degrees 3, 5, and 7 and Associated Theta-Function Identities.- 20 Modular Equations of Higher and Composite Degrees.- 21 Eisenstein Series.- References.

Additional information

NLS9781461269632
9781461269632
1461269636
Ramanujan's Notebooks: Part III by Bruce C. Berndt
New
Paperback
Springer-Verlag New York Inc.
2012-09-30
510
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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