arXiv Open Access 2024

$p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation

Jorge Flórez

Lihat Sumber

Abstrak

We establish integrality and congruence properties for the Eisenstein-Kronecker cocycle of Bergeron, Charollois and García introduced in [arXiv:2107.01992v2 [math.NT]]. As a consequence, we recover the integrality of the critical values of Hecke $L$-functions over imaginary quadratic fields in the split case. Additionally, we construct a $p$-adic measure that interpolates these critical values.

Topik & Kata Kunci

math.NT

Penulis (1)

Jorge Flórez

Format Sitasi

APA MLA BibTeX

Flórez, J. (2024). $p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation. https://arxiv.org/abs/2412.11332

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓