3 papers
math.NT2026
An asymptotic formula for a cubic moment of -functions
Catinca Mujdei
We obtain an asymptotic formula for a cubic moment of self-dual -functions studied by Petrow and Young, with a small extra averaging over characters. Our asymptotic consi…
math.NT2026
Murmurations in the depth aspect
Claire Burrin, Vivian Kuperberg, Min Lee +2
We compute the murmuration density function for the family of Hecke forms of weight and prime power level , with a fixed odd prime and .
math.NT2024
Kloosterman sums on orthogonal groups
Catinca Mujdei
We study Kloosterman sums on the orthogonal groups and , associated to short elements of their respective Weyl groups. An explicit description for these sums i…