English

Automorphic L-functions and functoriality

Number Theory 2007-05-23 v1

Abstract

This is a report on the global aspects of the Langlands-Shahidi method which in conjunction with converse theorems of Cogdell and Piatetski-Shapiro has recently been instrumental in establishing a significant number of new and surprising cases of Langlands Functoriality Conjecture over number fields. They have led to striking new estimates towards Ramanujan and Selberg conjectures.

Keywords

Cite

@article{arxiv.math/0304329,
  title  = {Automorphic L-functions and functoriality},
  author = {Freydoon Shahidi},
  journal= {arXiv preprint arXiv:math/0304329},
  year   = {2007}
}