Título:
Effective construction of Hilbert modular forms of half-integral weight
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Autor:
Sirolli, Nicolás
Tornaría, Gonzalo
Tornaría, Gonzalo
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Tipo de documento:
Preprint
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Palabras clave:
Number Theory
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Año de publicación:
2022
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Resumen:
Given a Hilbert cuspidal newform g we construct a family of modular forms of half-integral weight whose Fourier coefficients give the central values of the twisted L-series of g by fundamental discriminants. The family is parametrized by quadratic conditions on the primes dividing the level of g, where each form has coefficients supported on the discriminants satisfying the conditions. These modular forms are given as generalized theta series and thus their coefficients can be effectively computed. By considering skew-holomorphic forms of half-integral weight our construction works over arbitrary totally real number fields, except that in the case of odd degree the square levels are excluded. It includes all discriminants except those divisible by primes whose square divides the level.
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Publicado también como: Mathematische Zeitschrift, 2022, 302: 2513–2543. DOI: 10.1007/s00209-022-03140-2
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arXiv
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Mathematics (Number Theory), arXiv: 2107.04483v2, oct 2022, pp. 1-30
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Citación:
Sirolli, N y Tornaría, G. "Effective construction of Hilbert modular forms of half-integral weight" [Preprint]. Publicado en: Mathematics (Number Theory). 2022, arXiv:2107.04483v2, oct 2022, pp. 1-30
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Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2107.04483.pdf | — | 779.65 KB | Adobe PDF |