3 papers
math.NT2024
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…
math.CO2021
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…
math.RT2020
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…