Weakly holomorphic modular forms of half-integral weight with nonvanishing constant terms modulo $\ell $

DOI10.1090/S0002-9947-09-04708-4zbMath1213.11104OpenAlexW1982514417MaRDI QIDQ3631876

Dohoon Choi

Publication date: 22 June 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04708-4

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30)

Related Items (3)

Congruences involving the \(U_{\ell}\) operator for weakly holomorphic modular forms ⋮ Ranks of overpartitions modulo 6 and 10 ⋮ The algebraic parts of the central values of quadratic twists of modular \(L\)-functions modulo \(\ell\)

Cites Work

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• Coefficients of half-integral weight modular forms modulo \(\ell^{ j }\)
• Fourier coefficients of half-integral weight modular forms modulo \(\ell\)
• Congruences like Ramanujan's for powers of the partition function
• Arithmetic properties of the partition function
• A tameness criterion for Galois representations associated to modular forms (mod \(p\))
• Coefficients of half-integral weight modular forms.
• Nonvanishing modulo \(l\) of Fourier coefficients of half-integral weight modular forms
• The weight of half-integral weight modular forms with few non-vanishing coefficients mod l
• Central critical values of modular L -functions and coefficients of half-integral weight modular forms modulo ℓ
• Overpartitions
• CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS

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