2 citations · 3 across the 8 of their papers we have counts for
9 papers
Non-abelian base change for symmetric power liftings of holomorphic modular forms
Laurent Clozel, James Newton, Jack A. Thorne
Let be a non-CM Hecke eigenform of weight . We give a new proof of some cases of Langlands functoriality for the automorphic representation associated to . Mor…
On the central value of Rankin -functions for self-dual algebraic representations of linear groups over totally real fields
Laurent Clozel, Arno Kret
Deligne has formulated extremely influential conjectures about certain special values of the -functions of (Grothendieck) motives over a number field . Given the conjectural…
New applications of the Mellin transform to automorphic L-fuctions
Laurent Clozel
Let L(s) = L(s, π) be the standard L-function of a cuspidal representation πof GL(m,A) where A denotes the adèles of the field of rationals. We consider the integral, on the real l…
A universal lower bound for certain quadratic integrals of automorphic L-functions
Laurent Clozel, Peter Sarnak
We obtain uniform lower bounds, true for all automorphic L-functions L(s) associated to cuspidal representations of GL(m,A) where A denotes the adeles of the rationals Q, of the in…
On the Eisenstein functoriality in cohomology for maximal parabolic subgroups
Laurent Clozel
In his paper, 'On torsion in the cohomology of locally symmetric varieties', Peter Scholze has introduced a new, purely topological method to construct the cohomology classes on ar…
Ordinary deformations are unobstructed in the cyclotomic limit
Ashay Burungale, Laurent Clozel
The deformation theory of ordinary representations of the absolute Galois groups of totally real number fields (over a finite field ) has been studied for a long time, starting…