7 citations · 9 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
-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…