Well lacunary series and modular forms of weight one

DOI10.1016/j.jmaa.2024.128235OpenAlexW4391925725MaRDI QIDQ6130390

Shi-Chao Chen

Publication date: 2 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2024.128235

zbMATH Keywords

binary quadratic formsmodular formseta-quotients

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Automorphic forms, one variable (11F12)

Cites Work

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• Lacunary partition functions
• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• Ramanujan's lost notebook. V: Euler's partition identity
• Partitions and indefinite quadratic forms.
• q-identities for Maass waveforms
• Quelques applications du théorème de densité de Chebotarev
• On a partition function which assumes all integral values
• Divisibilite de certaines fonctions arithmétiques
• More lacunary partition functions
• Representation of prime powers in arithmetical progressions by binary quadratic forms.
• Characters and \(q\)-series in \(\mathbb Q(\sqrt 2)\)
• Maass wave forms, quantum modular forms and Hecke operators
• Multiplicative $q$-hypergeometric series arising from real quadratic fields
• Questions and Conjectures in Partition Theory
• Formes modulaires de poids $1$
• Small values of coefficients of a half Lerch sum
• Vanishing of the coefficients of a half Lerch sum
• On the number of representations of n by ax²+bxy+cy²
• Multiplicative 𝜂-quotients
• Some Properties of Partitions