On the algebraicity of coefficients of half-integral weight mock modular forms

DOI10.1515/MATH-2018-0112zbMath1448.11092OpenAlexW2902306035WikidataQ128815490 ScholiaQ128815490MaRDI QIDQ1738257

Chang Heon Kim, So Young Choi

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0112

zbMATH Keywords

weakly holomorphic modular forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)

Cites Work

• Linear relations among half-integral weight Poincaré series
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Modular forms of half-integral weight on \(\Gamma_0(4)\)
• Integral traces of singular values of weak Maass forms
• Shintani lifts and fractional derivatives for harmonic weak Maass forms
• On harmonic weak Maass forms of half integral weight
• A Mock Theta Function for the Delta-function
• ARITHMETIC PROPERTIES OF CERTAIN LEVEL ONE MOCK MODULAR FORMS

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