Multi-variable admissible distributions
Number Theory
2026-02-17 v2
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.
Cite
@article{arxiv.2510.24164,
title = {Multi-variable admissible distributions},
author = {Kengo Fukunaga and Tadashi Ochiai},
journal= {arXiv preprint arXiv:2510.24164},
year = {2026}
}