Large Fourier coefficients of half-integer weight modular forms (Q6582305)
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scientific article; zbMATH DE number 7891421
| Language | Label | Description | Also known as |
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| English | Large Fourier coefficients of half-integer weight modular forms |
scientific article; zbMATH DE number 7891421 |
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Large Fourier coefficients of half-integer weight modular forms (English)
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2 August 2024
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The paper under review answers the following question: Do Fourier coefficients of any cusps form of half-integral weight take large values? The answer is yes, and here, the authors use an adapted version of the resonance method. Furthermore, they prove that there are infinitely many fundamental discriminants \(D\) such that the Fourier coefficients evaluated at \(\vert D \vert\) are non-zero. The proof contains nice calculations.
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Fourier coefficients
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half-integral weight modular forms
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