14 citations · 24 across the 6 of their papers we have counts for
7 papers
Twisted Weyl group multiple Dirichlet series over the rational function field
Holley Friedlander
Weyl group multiple Dirichlet series are Dirichlet series in complex variables, with analytic continuation to and a group of functional equations isomorphic to t…
An orbit model for the spectra of nilpotent Gelfand pairs
Holley Friedlander, William Grodzicki, Wayne Johnson +4
Let be a connected and simply connected nilpotent Lie group, and let be a subgroup of the automorphism group of . We say that the pair is a nilpotent Gelfand pai…
On the p-parts of Weyl group multiple Dirichlet series
Holley Friedlander
We study the structure of -parts of Weyl group multiple Dirichlet series. In particular, we extend results of Chinta, Friedberg, and Gunnells and show, in the stable case, that…
Presentations for quaternionic -unit groups
Ted Chinburg, Holley Friedlander, Sean Howe +5
The purpose of this paper is to give presentations for projective -unit groups of the Hurwitz order in Hamilton's quaternions over the rational field . To our knowle…
Crystal graphs, Tokuyama's theorem, and the Gindikin--Karpelevic formula for G_2
Holley Friedlander, Louis Gaudet, Paul E. Gunnells
We conjecture a deformation of the Weyl character formula for type G_2 in the spirit of Tokuyama's formula for type A. Using our conjecture we prove a combinatorial version of the…
Effective Congruences for Mock Theta Functions
Nickolas Andersen, Holley Friedlander, Jeremy Fuller +1
Let M(q)=\sum c(n) q^n be one of Ramanujan's mock theta functions. We establish the existence of infinitely many linear congruences of the form c(An+B) \equiv 0 (mod \ell^j), where…
The a-numbers of Jacobians of Suzuki curves
Holley Friedlander, Derek Garton, Beth Malmskog +2
For , let be the Suzuki curve defined over . It is well-known that is supersingular, but the p-torsion group scheme of its Ja…