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arXiv · 1208.1359

Ramanujan's $_{1}ψ_1$ summation, Hecke-type double sums, and Appell-Lerch sums

Eric Mortenson
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Abstract

We use a specialization of Ramanujan's ${}_1ψ_1$ summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell-Lerch sums and theta functions.

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Eric Mortenson. 2012-08-07. Ramanujan's $_{1}ψ_1$ summation, Hecke-type double sums, and Appell-Lerch sums. https://doi.org/10.1007/s11139-012-9379-5

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