Motivated by known examples of global integrals which represent automorphic L-functions, this paper initiates the study of a certain two-dimensional array of global integrals attached to any reductive algebraic group, indexed by maximal parabolic subgroups in one direction and by unipotent conjugacy classes in the other. Fourier coefficients attached to unipotent classes, the Gelfand-Kirillov dimension of automorphic representations, and an identity which, empirically, appears to constrain the unfolding process are presented in detail with examples selected from the exceptional groups. Two new Eulerian integrals are included among these examples
These notes are concerned with showing the relation between L-functions of classical groups (*F1 in ...
1. There has recently been much interest, if not a tremendous amount of progress, in the arithmetic ...
Let G be a connected semisimple Lie group with a finite center. There are two general methods to con...
AbstractTextWe consider the Fourier expansions of automorphic forms on general Lie groups, with a pa...
We investigate Fourier coefficients of automorphic forms on split simply-laced Lie groups G. We show...
We investigate Fourier coefficients of automorphic forms on split simply-laced Lie groups G. We show...
University of Minnesota Ph.D. dissertation. May 2013. Major: Mathematics. Advisor:Prof. Dr. Dihua Ji...
We consider integrals of cuspforms f on reductive groups G defined over numberfields k against restr...
Let G be a connected reductive algebraic group over a non-Archimedean local field K, and let g be it...
© 2014 Société Mathématique de France. Tous droits réservés. Let G be a connected reductive algebrai...
Abstract. In this paper we compute the local L-factors for Novodvorsky integrals for all generic rep...
Real groups o¤er many opportunities to explore Langlandsprinciple of functoriality in the L-group. T...
Abstract. With a view to determining character values of finite reductive groups at unipotent elemen...
AbstractIn this paper, we apply Langlands–Shahidi method to exceptional groups, with the assumption ...
AbstractLet G be a semi-simple Lie group of split rank 1 and Γ a discrete subgroup of G of cofinite ...
These notes are concerned with showing the relation between L-functions of classical groups (*F1 in ...
1. There has recently been much interest, if not a tremendous amount of progress, in the arithmetic ...
Let G be a connected semisimple Lie group with a finite center. There are two general methods to con...
AbstractTextWe consider the Fourier expansions of automorphic forms on general Lie groups, with a pa...
We investigate Fourier coefficients of automorphic forms on split simply-laced Lie groups G. We show...
We investigate Fourier coefficients of automorphic forms on split simply-laced Lie groups G. We show...
University of Minnesota Ph.D. dissertation. May 2013. Major: Mathematics. Advisor:Prof. Dr. Dihua Ji...
We consider integrals of cuspforms f on reductive groups G defined over numberfields k against restr...
Let G be a connected reductive algebraic group over a non-Archimedean local field K, and let g be it...
© 2014 Société Mathématique de France. Tous droits réservés. Let G be a connected reductive algebrai...
Abstract. In this paper we compute the local L-factors for Novodvorsky integrals for all generic rep...
Real groups o¤er many opportunities to explore Langlandsprinciple of functoriality in the L-group. T...
Abstract. With a view to determining character values of finite reductive groups at unipotent elemen...
AbstractIn this paper, we apply Langlands–Shahidi method to exceptional groups, with the assumption ...
AbstractLet G be a semi-simple Lie group of split rank 1 and Γ a discrete subgroup of G of cofinite ...
These notes are concerned with showing the relation between L-functions of classical groups (*F1 in ...
1. There has recently been much interest, if not a tremendous amount of progress, in the arithmetic ...
Let G be a connected semisimple Lie group with a finite center. There are two general methods to con...