On $p$-adic Measures for Quaternionic Modular Forms
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917979853160448 |
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| author | Jin, Yubo |
| author_facet | Jin, Yubo |
| contents | The purpose of this paper is to study the special values of the standard $L$-functions for quaternionic modular forms using the doubling method. We obtain an integral representation for the $L$-function twisted by a character and construct the $p$-adic measure interpolating certain special $L$-values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_11822 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On $p$-adic Measures for Quaternionic Modular Forms Jin, Yubo Number Theory 11F33, 11F55, 11F67 The purpose of this paper is to study the special values of the standard $L$-functions for quaternionic modular forms using the doubling method. We obtain an integral representation for the $L$-function twisted by a character and construct the $p$-adic measure interpolating certain special $L$-values. |
| title | On $p$-adic Measures for Quaternionic Modular Forms |
| topic | Number Theory 11F33, 11F55, 11F67 |
| url | https://arxiv.org/abs/2209.11822 |