arXiv subjects

Kengo Fukunaga

Publications and source records attributed to Kengo Fukunaga.

2 recordsLinked to original sources

arXiv2026

Multi-variable admissible distributions

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.

math.NT↗

arXiv2019

Triple product p-adic L-function attached to p-adic families of modular forms

Ming-Lun Hsieh constructed three-variable triple product p-adic L-functions attached to triples of primitive Hida families and proved interpolation formulas. We generalize his result in the unbalanced case and construct a three-variable triple product p-adic L-function attached to a primitive Hida family and two more general p-adic families of modular forms.

math.NT↗