On -adic -functions for symplectic representations of GL(N) over number fields

C Williams - arXiv preprint arXiv:2305.07809, 2023 - arxiv.org
Let $ F $ be a number field, and $\pi $ a regular algebraic cuspidal automorphic
representation of $\mathrm {GL} _N (\mathbb {A} _F) $ of symplectic type. When $\pi $ is …

ARITHMETIC OF p‐IRREGULAR MODULAR FORMS: FAMILIES AND p‐ADIC L‐FUNCTIONS

A Betina, C Williams - Mathematika, 2021 - Wiley Online Library
Let fnew be a classical newform of weight≥ 2 and prime to p level. We study the arithmetic
of fnew and its unique p‐stabilisation f when fnew is p‐irregular, that is, when its Hecke …