Add to ORKGAbstract. We propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in the framework of the geometric Langlands program. Our main result is local. For n = 2 we apply it to prove a global result that gives a geometric version of the computation of the scalar product of two normalized cusp Hecke eigenforms as a residue of the Rankin-Selberg convolution. 0 1999 Academic des sciences&ditions scientifiques et medicales Elsevier SAS Mbthode de Rankin-Selberg locale &om6tri&e pour GL(n) et son application R&urn & Nous proposons une interpretation geome’trique de la me’thode classique de Rankin-Selberg pour GL(n) darts le cadre du programme de Langlands geometrique. Notre resultat principal est local...
This paper is dedicated to Stephen Gelbart. Abstract. The paper gives complete proofs of the propert...
Let $F(s)$ be a function of degree $2$ from the extended Selberg class. Assuming certain bounds for ...
After integrating over supermoduli and vertex operator positions, scattering amplitudes in superstri...
38 pages, LaTeX2eWe propose a geometric interpretation of the classical Rankin-Selberg method for GL...
This report presents my work on the geometric Langlands program. The following directions of this pr...
Following Laumon [10], to a nonramified l-adic local system E of rank n on a curve X one associates ...
Let F be a non-Archimedean local field and n greater than or equal to 2 an integer. Let pi,pi ' be i...
In this article we study a Rankin-Selberg convolution of n complex variables for pairs of degree n S...
In this report, we describe one explicit formula for the zeros of the Rankin-Selberg L-function by u...
Abstract. We show that a cuspidal normalized Hecke eigenform g of level one and even weight is uniqu...
In this article we study a Rankin-Selberg convolution of two complex variables attached to Siegel mo...
The Selberg class S is a rather general class of Dirichlet series with functional equation and Euler...
For all cusp forms π on GL(3) and π′ on GL(2) over a number field F, H. Kim and F. Shahidi have func...
In this paper, we prove that a primitive Hilbert cusp form g is uniquely determined by the central v...
We establish zero-free regions tapering as an inverse power of the analytic conductor for Rankin-Sel...
This paper is dedicated to Stephen Gelbart. Abstract. The paper gives complete proofs of the propert...
Let $F(s)$ be a function of degree $2$ from the extended Selberg class. Assuming certain bounds for ...
After integrating over supermoduli and vertex operator positions, scattering amplitudes in superstri...
38 pages, LaTeX2eWe propose a geometric interpretation of the classical Rankin-Selberg method for GL...
This report presents my work on the geometric Langlands program. The following directions of this pr...
Following Laumon [10], to a nonramified l-adic local system E of rank n on a curve X one associates ...
Let F be a non-Archimedean local field and n greater than or equal to 2 an integer. Let pi,pi ' be i...
In this article we study a Rankin-Selberg convolution of n complex variables for pairs of degree n S...
In this report, we describe one explicit formula for the zeros of the Rankin-Selberg L-function by u...
Abstract. We show that a cuspidal normalized Hecke eigenform g of level one and even weight is uniqu...
In this article we study a Rankin-Selberg convolution of two complex variables attached to Siegel mo...
The Selberg class S is a rather general class of Dirichlet series with functional equation and Euler...
For all cusp forms π on GL(3) and π′ on GL(2) over a number field F, H. Kim and F. Shahidi have func...
In this paper, we prove that a primitive Hilbert cusp form g is uniquely determined by the central v...
We establish zero-free regions tapering as an inverse power of the analytic conductor for Rankin-Sel...
This paper is dedicated to Stephen Gelbart. Abstract. The paper gives complete proofs of the propert...
Let $F(s)$ be a function of degree $2$ from the extended Selberg class. Assuming certain bounds for ...
After integrating over supermoduli and vertex operator positions, scattering amplitudes in superstri...