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arXiv · 2510.24164

Multi-variable admissible distributions

Kengo Fukunaga·Tadashi Ochiai
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Abstract

The theory of admissible distributions over a weight-space of one-variable was studied by Amice--V\'{e}lu 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.

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Kengo Fukunaga, Tadashi Ochiai. 2025-10-28. Multi-variable admissible distributions. https://arxiv.org/abs/2510.24164

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