Two Identities Involving a Mordell Integral and Appell–Lerch Sums

George E. Andrews and Bruce C. Berndt
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George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois, Department of Mathematics

Chapter 13 in Ramanujan's Lost Notebook, 2018, pp 291-309 from Springer

Abstract: Abstract Mordell, L.J. Appell–Lerch series On page 202 in his Lost Notebook, Ramanujan recorded without proofs two modular transformations involving a Mordell integral, q-hypergeometric series, and generalized Lambert series. These two formulas were first proved by Y.-S. Choi [110], and in this chapter we relate his proofs.

Date: 2018
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DOI: 10.1007/978-3-319-77834-1_13

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