Year: 2026
Type: preprint
Abstract: Let $Π$ be a regular algebraic cuspidal automorphic representation of $\mathrm{GL}_{3}(\mathbb{A}_{\mathbb{Q}})$ of weight $(a, 0, -a)$, and let $p$ be a prime. Generalising work of Loeffler--Williams in the nearly-ordinary case, we construct $p$-adic $L$-functions for each small slope regular $P_{1}$-refinement of $Π$ at $p$ consistent with the conjectures of Coates--Perrin-Riou and Panchishkin.
Source: arXiv (Cornell University)
Authors: Dimitrakopoulou, Xenia, Rockwood, Rob
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215044916