English

Symmetric cube L-functions for GL_2 are entire

Number Theory 2009-09-25 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.math/9909198,
  title  = {Symmetric cube L-functions for GL_2 are entire},
  author = {Henry H. Kim and Freydoon Shahidi},
  journal= {arXiv preprint arXiv:math/9909198},
  year   = {2009}
}

Comments

18 pages, published version, abstract added in migration

R2 v1 2026-07-22T18:04:40.904Z