THE COEFFICIENTS OF THE ω(q) MOCK THETA FUNCTION

DOI10.1142/S1793042108001869zbMath1220.11061WikidataQ30054183 ScholiaQ30054183MaRDI QIDQ3636084

Sharon Anne Garthwaite

Publication date: 30 June 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

mock theta functionsPoincaré seriesmodular forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Analytic theory of partitions (11P82)

Related Items (11)

Effective congruences for mock theta functions ⋮ ARITHMETIC PROPERTIES OF COEFFICIENTS OF THE MOCK THETA FUNCTION ⋮ Parity of coefficients of mock theta functions ⋮ Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks ⋮ Perspectives on mock modular forms ⋮ Vector-valued Maass-Poincaré series ⋮ Arithmetic properties of non-harmonic weak Maass forms ⋮ On certain explicit congruences for mock theta functions ⋮ Generating functions and congruences for some partition functions related to mock theta functions ⋮ Two identities on the mock theta function \(V_0(q)\) ⋮ TWO CONGRUENCES FOR APPELL–LERCH SUMS

Cites Work

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• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Partitions: At the interface of \(q\)-series and modular forms
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• The \(f(q)\) mock theta function conjecture and partition ranks

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