Fourier coefficients of half-integral weight modular forms in arithmetic progressions
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | DARREYE, Corentin | |
dc.date.accessioned | 2024-04-04T02:57:16Z | |
dc.date.available | 2024-04-04T02:57:16Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192549 | |
dc.description.abstractEn | We study the probabilistic behavior of sums of Fourier coefficients in arithmetic progressions. We prove a result analogous to previous work of Fouvry-Ganguly-Kowalski-Michel and Kowalski-Ricotta in the context of half-integral weight holomorphic cusp forms and for prime power modulus. We actually show that these sums follow in a suitable range a mixed Gaussian distribution which comes from the asymptotic mixed distribution of Sali\'e sums. | |
dc.language.iso | en | |
dc.title.en | Fourier coefficients of half-integral weight modular forms in arithmetic progressions | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math] | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 1907.07483 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-02477036 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02477036v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DARREYE,%20Corentin&rft.genre=preprint |
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