10 citations · 18 across the 6 of their papers we have counts for
8 papers · 1 filter
Langlands Program and Ramanujan Conjecture: a survey
Luis Alberto Lomelí
We present topics in the Langlands Program to graduate students and a wider mathematically mature audience. We study both global and local aspects in characteristic zero as well as…
Asai cube L-functions and the local Langlands conjecture
G. Henniart, L. Lomelí
Let be a non-archimedean locally compact field. We study a class of Langlands-Shahidi pairs , consisting of a quasi-split connected reductive group o…
Globalization of supercuspidal representations over function fields and applications
Wee Teck Gan, Luis Lomelí
Let H be a connected reductive group defined over a non-archimedean local field F of characteristic p>0. Using Poincaré series, we globalize supercuspidal representations of H(F) i…
The Langlands-Shahidi method over function fields: Ramanujan Conjecture and Riemann Hypothesis for the unitary groups
Luis Alberto Lomelí
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…
On twisted exterior and symmetric square -factors
Radhika Ganapathy, Luis Lomelí
We establish the existence and uniqueness of twisted exterior and symmetric square -factors in positive characteristic by studying the Siegel Levi case of generalized spinor gro…
Uniqueness of Rankin-Selberg products
Guy Henniart, Luis Lomelí
In the present paper, we show the equality of the -factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method. Our results ar…