Divisibility properties of the Fourier coefficients of (mock) modular functions and Ramanujan

DOI10.1142/S1793042120400333zbMath1477.11069arXiv2001.05686OpenAlexW3116197337MaRDI QIDQ4991694

Soon-Yi Kang

Publication date: 3 June 2021

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

Full work available at URL: https://arxiv.org/abs/2001.05686

zbMATH Keywords

modular functionscongruencesHecke operatorsmock modular forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03)

Cites Work

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• Cycle integrals of a sesqui-harmonic Maass form of weight zero
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• On divisors of modular forms
• Defining equations of modular curves
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• Congruence properties for the partition function
• A class of nonanalytic automorphic functions
• Divisibility properties of coefficients of level $p$ modular functions for genus zero primes
• DIVISIBILITY PROPERTIES OF COEFFICIENTS OF WEIGHT 0 WEAKLY HOLOMORPHIC MODULAR FORMS
• Divisibility properties of coefficients of modular functions in genus zero levels
• Weakly holomorphic modular forms in prime power levels of genus zero
• RAMANUJAN'S CONGRUENCES FOR THE PARTITION FUNCTION MODULO 5, 7, AND 11
• Proof of a conjecture of Ramanujan
• Divisibility Properties of the Fourier Coefficients of the Modular Invariant j(τ)
• Further Congruence Properties of the Fourier Coefficients of the Modular Invariant j(τ)
• Proof of Ramanujan's Partition Congruence for the Modulus 11 3
• Ramanujan Identities Involving the Partition Function for the Moduli 11 a

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