Modular forms of half-integral weight on \(\Gamma_0 (4)\) with few nonvanishing coefficients modulo \(\ell\)

DOI10.1515/math-2022-0512OpenAlexW4312294473MaRDI QIDQ2111826

Dohoon Choi, Young Min Lee

Publication date: 17 January 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0512

zbMATH Keywords

theta functionsGalois representationsFourier coefficients of modular formsmodular forms of half-integral weight

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80)

Cites Work

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• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• A tameness criterion for Galois representations associated to modular forms (mod \(p\))
• Coefficients of half-integral weight modular forms.
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• Congruences involving the \(U_{\ell}\) operator for weakly holomorphic 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
• Modular forms of half-integral weight with few non-vanishing coefficients modulo $\ell $
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert

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