$p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912158351097856 |
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| author | Flórez, Jorge |
| author_facet | Flórez, Jorge |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11332 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation Flórez, Jorge Number Theory 11F67 (primary), 11F20, 11R42 (secondary) 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. |
| title | $p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation |
| topic | Number Theory 11F67 (primary), 11F20, 11R42 (secondary) |
| url | https://arxiv.org/abs/2412.11332 |