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math.NT2023★ 1 cited
An introduction to -adic -functions
Joaquín Rodrigues Jacinto, Chris Williams
These expository notes introduce -adic -functions and the foundations of Iwasawa theory. We focus on Kubota--Leopoldt's -adic analogue of the Riemann zeta function, which…
math.NT2023★ 3 cited
On -refined Friedberg-Jacquet integrals and the classical symplectic locus in the eigenvariety
Daniel Barrera Salazar, Andrew Graham, Chris Williams
Friedberg--Jacquet proved that if is a cuspidal automorphic representation of , then is a functorial transfer from if…
math.NT2023
On -adic -functions for symplectic representations of GL(N) over number fields
Chris Williams
Let be a number field, and a regular algebraic cuspidal automorphic representation of of symplectic type. When is spherical at all primes…