The universality of symmetric power L-functions and their Rankin-Selberg L-functions

Hongze Li, Jie Wu

Type: Article

Publication Date: 2007-04-01

Citations: 3

DOI: https://doi.org/10.2969/jmsj/05920371

Abstract

We establish the universality theorem for the first four symmetric power L -functions of automorphic forms and their associated Rankin-Selberg L -functions. This generalizes some results of Laurinčikas and Matsumoto and of Matsumoto, respectively.

Locations

Journal of the Mathematical Society of Japan - View - PDF
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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Works Cited by This (19)

Action	Title	Year	Authors
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec
+	A Course in Probability Theory	1974	Kai Lai Chung
+	Limit Theorems for the Riemann Zeta-Function	1996	Antanas Laurinčikas
+ PDF Chat	None	2004	James Cogdell Philippe Michel
+	On limit distribution of the matsumoto zeta-function. II	1996	Antanas Laurinčikas
+	THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION	1975	Сергей Воронин
+ PDF Chat	Functorial Products for GL 2 × GL 3 and the Symmetric Cube for GL 2	2002	Henry H. Kim Freydoon Shahidi
+	On dirichlet series related to certain cusp forms	1998	Audrius Kačėnas Antanas Laurinčikas
+	An Θ-result for the coefficients of cusp forms	1973	R. A. Rankin