$p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation
Number Theory
2024-12-17 v1
Abstract
We establish integrality and congruence properties for the Eisenstein-Kronecker cocycle of Bergeron, Charollois and Garc\'ia introduced in [arXiv:2107.01992v2 [math.NT]]. As a consequence, we recover the integrality of the critical values of Hecke -functions over imaginary quadratic fields in the split case. Additionally, we construct a -adic measure that interpolates these critical values.
Keywords
Cite
@article{arxiv.2412.11332,
title = {$p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation},
author = {Jorge Flórez},
journal= {arXiv preprint arXiv:2412.11332},
year = {2024}
}