7 citations · 9 across the 9 of their papers we have counts for
10 papers
Constructing vector-valued automorphic forms on unitary groups
Thomas L. Browning, Pavel Čoupek, Ellen Eischen +4
We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy emp…
A Note on Large Sums of Divisor-Bounded Multiplicative Functions
Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1
Given a multiplicative function , we let be the associated partial sum. In this note, we show that lower bounds on partial sums of divisor-bounded fu…
Large Sums of Fourier Coefficients of Cusp Forms
Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1
Let be a fixed positive integer, and let be a primitive cusp form given by the Fourier expansion . We consi…
Measuring the Space of Metaplectic Whittaker Functions
Ilani Axelrod-Freed, Claire Frechette, Veronica Lang
Whittaker functions are special functions that arise in -adic number theory and representation theory. They may be defined on representations of reductive groups as well as thei…
A Lattice Model for Super LLT Polynomials
Michael J. Curran, Claire Frechette, Calvin Yost-Wolff +2
We introduce a solvable lattice model for supersymmetric LLT polynomials, also known as super LLT polynomials, based upon particle interactions in super n-ribbon tableaux. Using op…
Demicaps in AG(4,3) and Their Relation to Maximal Cap Partitions
Jordan Awan, Clare Frechette, Yumi Li +1
In this paper, we introduce a fundamental substructure of maximal caps in the affine geometry that we call \emph{demicaps}. Demicaps provide a direct link to particular p…
Yang-Baxter Equations for General Metaplectic Ice
Claire Frechette
In this paper, we extend results connecting quantum groups to spherical Whittaker functions on metaplectic covers of , for a nonarchimedean local field. Brubaker, Buci…
Frozen Pipes: Lattice Models for Grothendieck Polynomials
Ben Brubaker, Claire Frechette, Andrew Hardt +2
We introduce families of two-parameter multivariate polynomials indexed by pairs of partitions -- biaxial double -Grothendieck polynomials -- which specialize at …
-adic properties of certain half-integral weight modular forms
Lea Beneish, Claire Frechette
In this paper, we study the parallel cases of Zagier's and Folsom-Ono's grids of weakly holomorphic (resp. weakly holomorphic and mock modular) forms of weights 3/2 and 1/2, invest…
Combinatorial Properties of Rogers-Ramanujan-Type Identities Arising from Hall-Littlewood Polynomials
Claire Frechette, Madeline Locus
Here we consider the -series coming from the Hall-Littlewood polynomials, \begin{equation*} R_ν(a,b;q)=\sum_{\substack{λ\\[1pt] λ_1\leq a}} q^{c|λ|} P_{2λ}\big(1,q,q^2,\dots;q^{…