VOL. 86 | 2020 On primitive p-adic Rankin-Selberg L-functions
Chapter Author(s) Shih-Yu Chen, Ming-Lun Hsieh
Editor(s) Masato Kurihara, Kenichi Bannai, Tadashi Ochiai, Takeshi Tsuji
Adv. Stud. Pure Math., 2020: 195-242 (2020) DOI: 10.2969/aspm/08610195

Abstract

In this note, we revisit Hida's construction of p-adic Rankin-Selberg L-functions by incorporating Jacquet's approach to automorphic L-functions on GL(2)×GL(2). This allows us to give a construction of primitive three variable p-adic Rankin-Selberg L-functions associated with a pair of two primitive Hida families in full generality and prove the functional equation of this p-adic Rankin-Selberg L-function.

Information

Published: 1 January 2020
First available in Project Euclid: 12 January 2021

Digital Object Identifier: 10.2969/aspm/08610195

Subjects:
Primary: 11F33 , 11F67

Keywords: -adic -functions , Rankin-Selberg method

Rights: Copyright © 2020 Mathematical Society of Japan

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