Identities for the product of Two Dirichlet Series Satisfying Hecke's Functional Equation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913749134213120 |
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| author | Berndt, Bruce C. Xie, Likun |
| author_facet | Berndt, Bruce C. Xie, Likun |
| contents | We derive a general formula for the product of two Dirichlet series that satisfy Hecke's functional equation. Several examples are provided to demonstrate the applicability of the formula. In addition, we discuss prior work on similar products and clarify certain issues arising in the existing literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19891 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Identities for the product of Two Dirichlet Series Satisfying Hecke's Functional Equation Berndt, Bruce C. Xie, Likun Number Theory We derive a general formula for the product of two Dirichlet series that satisfy Hecke's functional equation. Several examples are provided to demonstrate the applicability of the formula. In addition, we discuss prior work on similar products and clarify certain issues arising in the existing literature. |
| title | Identities for the product of Two Dirichlet Series Satisfying Hecke's Functional Equation |
| topic | Number Theory |
| url | https://arxiv.org/abs/2411.19891 |