Subspaces spanned by eigenforms with nonvanishing twisted central $L$-values
| Autor: | Kayath, June, Lane, Connor, Neifeld, Ben, Ni, Tianyu, Xue, Hui |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we construct explicit spanning sets for two spaces. One is the subspace generated by integral-weight Hecke eigenforms with nonvanishing quadratic twisted central $L$-values. The other is a subspace generated by half-integral weight Hecke eigenforms with certain nonvanishing Fourier coefficients. Along the way, we show that these subspaces are isomorphic via the Shimura lift. Comment: 38 pages |
| Databáze: | arXiv |
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