On the Rankin–Selberg integral of Kohnen and Skoruppa

Aaron Pollack, Shrenik Shah

Type: Article

Publication Date: 2017-01-01

Citations: 6

DOI: https://doi.org/10.4310/mrl.2017.v24.n1.a8

Abstract

The Rankin-Selberg integral of Kohnen and Skoruppa produces the Spin $L$-function for holomorphic Siegel modular forms of genus two. In this paper, we reinterpret and extend their integral to apply to arbitrary cuspidal automorphic representations of $\mathrm{PGSp}_4$. We show that the integral is related to a non-unique model and analyze it using the approach of Piatetski-Shapiro and Rallis.

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Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Introduction to Siegel modular forms and Dirichlet series	2009	Anatoli Andrianov
+ PDF Chat	Theta-functions and Hilbert modular forms	1978	Stephen S. Kudla
+	A new way to get Euler products.	1988	I. Rallis
+	Modular forms associated to real quadratic fields	1975	Don Zagier
+	Some Euler products associated with cubic metaplectic forms on GL(3)	1986	Daniel Bump Jeffrey Hoffstein
+	A certain Dirichlet series attached to Siegel modular forms of degree two	1989	Winfried Kohnen Nils-Peter Skoruppa
+ PDF Chat	Siegel modular forms and representations	2001	Mahdi Asgari Ralf Schmidt
+ PDF Chat	L-functions for GSp<sub>4</sub>	1997	Ilya Piatetski-Shapiro
+	Non-existence of singular cusp forms	1992	Jian-Shu Li
+	The Spin L-function on GSp6 Via a non-unique model	2018	Aaron Pollack Shrenik Shah