Infinite Series

Bruce C. Berndt
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Bruce C. Berndt: University of Illinois, Department of Mathematics

Chapter Chapter 14 in Ramanujan’s Notebooks, 1989, pp 240-299 from Springer

Abstract: Abstract Since Ramanujan’s death in 1920, there have perhaps been more published papers establishing results in Chapter 14 than in any of the remaining 20 chapters. In many cases, the authors were unaware that their discoveries are found in Ramanujan’s notebooks. In [6] and [7], the author showed that several results in Chapter 14, as well as many others as well, aries from a general transformation formula for a large class of analytic Eisenstein series. It should be emphasized, however, that Chapter 14 also contains many other types of results.

Keywords: Infinite Series; Residue Theorem; Nonzero Integer; Double Series; Summation Sign (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-1-4612-4530-8_6

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