On Hecke-type double-sums and general string functions for the affine Lie algebra \(A_1^{(1)}\)

DOI10.1007/S11139-023-00737-XarXiv2110.02615OpenAlexW3203101260MaRDI QIDQ6122729

Eric T. Mortenson

Publication date: 1 March 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.02615

zbMATH Keywords

theta functionsaffine Lie algebrasAppell functionsstring functionsHecke-type double-sums

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

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• Infinite-dimensional Lie algebras, theta functions and modular forms
• A proof of the mock theta conjectures
• On the seventh order mock theta functions
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• 50 Years of Bailey's lemma
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁
• Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
• A heuristic guide to evaluating triple-sums

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