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Proceedings of the London Mathematical Society· 2014Q1

Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I

Dean Hickerson, Eric T. Mortenson

Short summary

A new formula expresses Hecke-type double sums using Appell-Lerch sums, providing straightforward proofs for classical mock theta identities and a new proof of the mock theta conjectures.

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics