29 citations · 80 across the 13 of their papers we have counts for
4 papers · 1 filter
Local-global compatibility for regular algebraic cuspidal automorphic representation when
Ila Varma
We prove the compatibility of local and global Langlands correspondences for up to semisimplification for the Galois representations constructed by Harris-Lan-Taylor-Thorne…
p-adic q-expansion principles on unitary Shimura varieties
Ana Caraiani, Ellen Eischen, Jessica Fintzen +2
We formulate and prove certain vanishing theorems for p-adic automorphic forms on unitary groups of arbitrary signature. The p-adic q-expansion principle for p-adic modular forms o…
On the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields
Manjul Bhargava, Ila Varma
Given any family of cubic fields defined by local conditions at finitely many primes, we determine the mean number of 2-torsion elements in the class groups and narrow class groups…
The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders
Manjul Bhargava, Ila Varma
We determine the mean number of 3-torsion elements in the class groups of quadratic orders, where the quadratic orders are ordered by their absolute discriminants. Moreover, for a…