Symmetric cube L-functions for GL_2 are entire

Abstract

The purpose of this paper is to prove the long awaited holomorphy of the third symmetric power L-functions attached to nonmonomial cusp forms of GL_2 over an arbitrary number field on the whole complex plane.

18 pages, published version, abstract added in migration

Cited by in corpus (3)

• Limit multiplicities for principal congruence subgroups of GL(n) and SL(n)
• Functorial products for $G{L}_2\times G{L}_3$ and the symmetric cube for $G{L}_2$
• On the value-distribution of the difference between logarithms of two symmetric power $L$-functions