Effective bounds for traces of weak Maass forms

DOI10.1016/j.jnt.2023.02.001OpenAlexW4322753411MaRDI QIDQ2696064

Narissara Khaochim, Riad Masri

Publication date: 6 April 2023

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2023.02.001

zbMATH Keywords

partition functionCM pointweak Maass form

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37)

Uses Software

• DLMF
• Main-term

Cites Work

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• Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products
• Identities and congruences for Ramanujan's \(\omega (q)\)
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• Algebraic and transcendental formulas for the smallest parts function
• Heegner points and derivatives of \(L\)-series. II
• Dyson's partition ranks and their multiplicative extensions
• Bounds for coefficients of the \(f(q)\) mock theta function and applications to partition ranks
• Effective estimates for the smallest parts function
• Effective bounds for traces of singular moduli
• Effective bounds for the Andrews spt-function
• An effective bound for the partition function
• Error bounds for the large-argument asymptotic expansions of the Hankel and Bessel functions
• Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms
• Formulas for the coefficients of half-integral weight harmonic Maaß forms
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• Majorations Explicites Pour le Nombre de Diviseurs de N
• The spt-function of Andrews
• THE ASYMPTOTIC DISTRIBUTION OF TRACES OF WEAK MAASS FORMS

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