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September 2019 Explicit calculation of local integrals for twisted triple product L-functions
Isao Ishikawa
Kyoto J. Math. 59(3): 619-648 (September 2019). DOI: 10.1215/21562261-2019-0019

Abstract

Ichino proved a formula expressing global trilinear period integrals as products of central values of triple product L-functions and certain local trilinear integrals. In general, these local trilinear integrals are difficult to evaluate, and the main result in this article is to prove an identity relating local trilinear integrals and products of local Rankin–Selberg integrals in the twisted case. This result has applications to an explicit version of Ichino’s formula and the construction of p-adic L-functions for twisted triple products in our forthcoming works.

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Isao Ishikawa. "Explicit calculation of local integrals for twisted triple product L-functions." Kyoto J. Math. 59 (3) 619 - 648, September 2019. https://doi.org/10.1215/21562261-2019-0019

Information

Received: 12 December 2016; Revised: 12 April 2017; Accepted: 12 May 2017; Published: September 2019
First available in Project Euclid: 18 May 2019

zbMATH: 07108005
MathSciNet: MR3990180
Digital Object Identifier: 10.1215/21562261-2019-0019

Subjects:
Primary: 11F70
Secondary: 11F41, 11F67

Rights: Copyright © 2019 Kyoto University

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Vol.59 • No. 3 • September 2019
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