14 citations · 92 across the 25 of their papers we have counts for
25 papers
Sums of Kloosterman sums formed with modular symbols
Nikolaos Diamantis, Solomon Friedberg, Fredrik Strömberg
We study sums of Kloosterman sums formed with a modular symbol. Employing Tauberian methods, we first give an estimate for a (Riesz) sum of Ramanujan sums formed with a modular sym…
On the Cubic Shimura lift to : The Fundamental Lemma
Solomon Friedberg, Omer Offen
The classical Shimura correspondence lifts automorphic representations on the double cover of to automorphic representations on . Here we take key steps towards estab…
The generalized doubling method: models
Yuanqing Cai, Solomon Friedberg, Dmitry Gourevitch +1
One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called models, for local components of generalized Speh r…
On the Whittaker range of the generalized metaplectic theta lift
Solomon Friedberg, David Ginzburg
The classical theta correspondence, based on the Weil representation, allows one to lift automorphic representations on symplectic groups or their double covers to automorphic repr…
Classical Theta Lifts for Higher Metaplectic Covering Group
Solomon Friedberg, David Ginzburg
The classical theta correspondence establishes a relationship between automorphic representations on special orthogonal groups and automorphic representations on symplectic groups…
Dimensions of Automorphic Representations, -Functions and Liftings
Solomon Friedberg, David Ginzburg
There are many Rankin-Selberg integrals representing Langlands -functions, and it is not apparent what the limits of the Rankin-Selberg method are. The Dimension Equation is an…
Doubling constructions: Global functoriality for non-generic cuspidal representations
Yuanqing Cai, Solomon Friedberg, Eyal Kaplan
We study the generalized doubling method for pairs of representations of where is a symplectic group, split special orthogonal group or split general spin group.…
Doubling Constructions and Tensor Product -Functions: the linear case
Yuanqing Cai, Solomon Friedberg, David Ginzburg +1
We present an integral representation for the tensor product -function of a pair of automorphic cuspidal representations, one of a classical group, the other of a general linear…
Hecke Modules from Metaplectic Ice
Ben Brubaker, Valentin Buciumas, Daniel Bump +1
We present a new framework for a broad class of affine Hecke algebra modules, and show that such modules arise in a number of settings involving representations of -adic groups…
Doubling Constructions for Covering Groups and Tensor Product L-Functions
Yuanqing Cai, Solomon Friedberg, David Ginzburg +1
This is a research announcement concerning a series of constructions obtained by applying the "doubling method" from the theory of automorphic forms to covering groups. Using these…
Theta Functions on Covers of Symplectic Groups
Solomon Friedberg, David Ginzburg
We study the automorphic theta representation on the -fold cover of the symplectic group . This representation is obtained from the residues of Eisenstei…
Matrix Coefficients and Iwahori-Hecke Algebra Modules
Ben Brubaker, Daniel Bump, Solomon Friedberg
We establish a connection between certain unique models, or equivalently unique functionals, for representations of p-adic groups and linear characters of their corresponding Hecke…
On the Genericity of Eisenstein Series and Their Residues for Covers of
Solomon Friedberg, David Ginzburg
Let , be two genuine cuspidal automorphic representations on -fold covers of the adelic points of the general linear groups , , resp.,…
Criteria for the Existence of Cuspidal Theta Representations
Solomon Friedberg, David Ginzburg
Theta representations appear globally as the residues of Eisenstein series on covers of groups; their unramified local constituents may be characterized as subquotients of certain…
Tokuyama-type formulas for type B
Solomon Friedberg, Lei Zhang
We obtain explicit formulas for the product of a deformed Weyl denominator with the character of an irreducible representation of the spin group , wh…
Metaplectic Theta Functions and Global Integrals
Solomon Friedberg, David Ginzburg
We convolve a theta function on an -fold cover of with an automorphic form on an -fold cover of for suitable . To do so, we induce the theta function to…
Whittaker Coefficients of Metaplectic Eisenstein Series
Benjamin Brubaker, Solomon Friedberg
We study Whittaker coefficients for maximal parabolic Eisenstein series on metaplectic covers of split reductive groups. By the theory of Eisenstein series these coefficients have…
Descent and Theta Functions for Metaplectic Groups
Solomon Friedberg, David Ginzburg
There are few constructions of square-integrable automorphic functions on metaplectic groups. Such functions may be obtained by the residues of certain Eisenstein series on covers…
Eisenstein Series on Covers of Odd Orthogonal Groups
Solomon Friedberg, Lei Zhang
We study the Whittaker coefficients of the minimal parabolic Eisenstein series on the -fold cover of the split odd orthogonal group . If the degree of the cover is od…
Metaplectic Ice
Ben Brubaker, Daniel Bump, Gautam Chinta +2
Spherical Whittaker functions on the metaplectic n-fold cover of GL(r+1) over a nonarchimedean local field containing n distinct n-th roots of unity may be expressed as the partiti…
Schur Polynomials and the Yang-Baxter equation
Ben Brubaker, Daniel Bump, Solomon Friedberg
We show that within the six-vertex model there is a parametrized Yang-Baxter equation with nonabelian parameter group GL(2)xGL(1) at the center of the disordered regime. As an appl…
On the p-parts of quadratic Weyl group multiple Dirichlet series
Gautam Chinta, Solomon Friedberg, Paul E. Gunnells
Let Phi be a reduced root system of rank r. A Weyl group multiple Dirichlet series for Phi is a Dirichlet series in r complex variables s_1,...,s_r, initially converging for Re(s_i…
On local coefficients for non-generic representations of some classical groups
Solomon Friedberg, David Goldberg
This paper is concerned with representations of split orthogonal and quasi-split unitary groups over a nonarchimedean local field which are not generic, but which support a unique…
The Fundamental Lemma for the Shalika Subgroup of GL
Solomon Friedberg, Hervé Jacquet
The authors establish the fundamental lemma for a relative trace formula. This trace formula compares generic automorphic representations of GSp with automorphic representatio…