DIVISIBILITY PROPERTIES OF COEFFICIENTS OF WEIGHT 0 WEAKLY HOLOMORPHIC MODULAR FORMS

DOI10.1142/S1793042111004599zbMath1228.11059MaRDI QIDQ5198396

Michael J. Griffin

Publication date: 8 August 2011

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

zbMATH Keywords

congruencesFourier coefficientsweakly holomorphic modular formsmodular invariantDivisibility

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30)

Related Items (10)

Three-divisibility of Fourier coefficients of weakly holomorphic modular forms ⋮ Congruences for coefficients of modular functions in levels 3, 5, and 7 with poles at 0 ⋮ Congruences for coefficients of modular functions ⋮ Two-divisibility of the coefficients of certain weakly holomorphic modular forms ⋮ Congruences for coefficients of level 2 modular functions with poles at 0 ⋮ Divisibility properties of coefficients of level $p$ modular functions for genus zero primes ⋮ Divisibility properties of coefficients of modular functions in genus zero levels ⋮ Weakly holomorphic modular forms in prime power levels of genus zero ⋮ Arithmetic properties of Fourier coefficients of meromorphic modular forms ⋮ Divisibility properties of the Fourier coefficients of (mock) modular functions and Ramanujan

Cites Work

• Congruences for the Coefficients of the Modular Invariant $j(\tau)$.
• Congruences for the Coefficients of the Modular Invariant $j(\tau)$.
• Further Congruence Properties of the Fourier Coefficients of the Modular Invariant j(τ)
• Period functions for Maass wave forms. I.

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