Ramanujan's 11 summation, Hecke-type double sums, and Appell-Lerch sums
Abstract
We use a specialization of Ramanujan's 11 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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