Multi-variable admissible distributions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912905544335360 |
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| author | Fukunaga, Kengo Ochiai, Tadashi |
| author_facet | Fukunaga, Kengo Ochiai, Tadashi |
| contents | The theory of admissible distributions over a weight-space of one-variable was studied by Amice--Vélu and played important roles in the cyclotomic Iwasawa theory of non-ordinary p-adic Galois representations. In this article, we discuss the multi-variable generalization of the theory of admissible distributions over a weight-space of several variables. As an application, we construct a two-variable non-ordinary p-adic L-function which interpolates the special values of Rankin-Selberg L-functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24164 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi-variable admissible distributions Fukunaga, Kengo Ochiai, Tadashi Number Theory The theory of admissible distributions over a weight-space of one-variable was studied by Amice--Vélu and played important roles in the cyclotomic Iwasawa theory of non-ordinary p-adic Galois representations. In this article, we discuss the multi-variable generalization of the theory of admissible distributions over a weight-space of several variables. As an application, we construct a two-variable non-ordinary p-adic L-function which interpolates the special values of Rankin-Selberg L-functions. |
| title | Multi-variable admissible distributions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.24164 |