Titlebook: Ramanujan’s Notebooks; Part V Bruce C. Berndt Book 1998 Springer Science+Business Media, LLC, part of Springer Nature 1998 Finite.Identity.

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,Modular Equations and Theta—Function Identities in Notebook 1, modular equations, and, as the content of Chapters 34 and 35 makes manifest, he found many applications of these equations. Thus, it is surprising that the first notebook contains several dozen modular equations that he failed to record in his second notebook. Some of these are easy to prove with t

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Infinite Series,anized material found in these two notebooks. In this chapter, we primarily focus on exact formulas, while in Chapter 38 our attention is given to approximations and asymptotic formulas. In Part IV [4], we had disengaged Ramanujan’s results on special functions, partial fraction decompositions, and