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

Hongze Li (1) , Jie Wu (2)

1 Department of Mathematics [Shanghai]
2 Analyse

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 Laurincikas & Matsumoto and Matsumoto respectively.

Mots clés: Automorphic L-function; Universality

Domaines: Théorie des nombres [math.NT]

Hongze Li, Jie Wu. The universality of symmetric power L-functions and their Rankin-Selberg L-functions. Journal of the Mathematical Society of Japan, 2007, 59 (2), pp.371--392. ⟨hal-00091802⟩