New mock theta conjectures. I

DOI10.1007/s11139-017-9938-xzbMath1422.11095OpenAlexW2754942208WikidataQ123125136 ScholiaQ123125136MaRDI QIDQ721855

Richard J. McIntosh

Publication date: 20 July 2018

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

Full work available at URL: https://doi.org/10.1007/s11139-017-9938-x

zbMATH Keywords

mock theta functionAppell-Lerch functiongeneralized Lambert seriesmock theta conjecture

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Jacobi forms (11F50)

Related Items (11)

Some new mock theta functions ⋮ Hecke-type triple sums associated with mock theta functions ⋮ Congruences for the coefficients of the Gordon and McIntosh mock theta function \(\xi (q)\) ⋮ Hecke-type double sums and mock theta functions ⋮ Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind ⋮ Two generalizations of Jacobi's triple product identity and their applications ⋮ Proofs of Silva-Sellers' conjectures on a mock theta function ⋮ On second and eighth order mock theta functions ⋮ ON SOME NEW MOCK THETA FUNCTIONS ⋮ Representations of mock theta functions ⋮ Congruences related to an eighth order mock theta function of Gordon and McIntosh

Cites Work

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• On the modularity of the unified WRT invariants of certain Seifert manifolds
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• A proof of the mock theta conjectures
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• Tenth order mock theta functions in Ramanujan's lost notebook
• Modular transformations of Ramanujan's fifth and seventh order mock theta functions
• On three third order mock theta functions and Hecke-type double sums
• A Survey of Classical Mock Theta Functions
• The H and K Family of Mock Theta Functions
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• On the Modular Equations of Degree 3
• Some Eighth Order Mock Theta Functions
• Second Order Mock Theta Functions
• The Final Problem : An Account of the Mock Theta Functions

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