Hecke-Rogers double-sums and false theta functions

DOI10.1007/s40993-021-00256-yzbMath1498.11069arXiv2010.09699OpenAlexW3093471816WikidataQ112879828 ScholiaQ112879828MaRDI QIDQ2028698

Eric T. Mortenson

Publication date: 1 June 2021

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09699

zbMATH Keywords

mock theta functionsfalse theta functionsHecke-Rogers double-sums

Mathematics Subject Classification ID

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

Related Items (1)

Expressing q-series in terms of building blocks of Hecke-type double-sums

Cites Work

• Partitions and indefinite quadratic forms.
• q-identities for Maass waveforms
• 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
• On some double-sum false theta series
• Characters and \(q\)-series in \(\mathbb Q(\sqrt 2)\)
• Indefinite theta series of signature \((1,1)\) from the point of view of homological mirror symmetry
• The Bailey transform and false theta functions
• 50 Years of Bailey's lemma
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• BILATERAL BAILEY LEMMA AND FALSE THETA FUNCTIONS
• Partitions With Distinct Evens
• Some Eighth Order Mock Theta Functions

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