Year: 2026
Type: preprint
Abstract: The purpose of this note is to give conditional explicit formulas for the Galois action on real multiplication values of the Shintani--Faddeev modular cocycle. We assume the order 1 abelian Stark conjecture for real quadratic fields. We conclude this note by presenting our own conjecture about the Galois action. Numerical evidence for this conjecture will be provided in forthcoming work.
Source: arXiv (Cornell University)
Author: DiCapua, Joseph
Institution: Louisiana State University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220471456