pith. sign in

arxiv: 1507.03625 · v5 · pith:LKA7V7JMnew · submitted 2015-07-13 · 🧮 math.NT

The Langlands-Shahidi method over function fields: Ramanujan Conjecture and Riemann Hypothesis for the unitary groups

Luis Alberto Lomel\'i This is my paper
classification 🧮 math.NT
keywords groupsconjectureglobalhypothesislanglands-shahidimethodramanujanriemann
0
0 comments X
read the original abstract

We establish the Langlands-Shahidi method over a global field of characteristic p. We then focus on the unitary groups and prove global and local Langlands functoriality to general linear groups for generic representations. Main applications are to the Ramanujan Conjecture and Riemann Hypothesis.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The tower property on the genericity of global theta lifts

    math.NT 2024-10 unverdicted novelty 6.0

    First occurrence of global theta lifts preserves genericity, applied to prove the global Gan-Gross-Prasad conjecture for SO(2n+1) × SO(2) when SO(2) is split and the representation is trivial.