Semantic Scholar Open Access 2024

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

Jorge Fl'orez

Lihat Sumber

Abstrak

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 $L$-functions over imaginary quadratic fields in the split case. Additionally, we construct a $p$-adic measure that interpolates these critical values.

Topik & Kata Kunci

Mathematics

Penulis (1)

Jorge Fl'orez

Format Sitasi

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Fl'orez, J. (2024). $p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation. https://www.semanticscholar.org/paper/cda25a29cda74d4d78af76ea344824a4e8a2b58b

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Informasi Jurnal

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