A note on arithmetic congruences
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911100755247104 |
|---|---|
| author | Fellini, Nic |
| author_facet | Fellini, Nic |
| contents | By analyzing the coefficients of the power series defining the Kubota--Leopoldt $p$-adic $L$-function associated to the non-trivial character of a real quadratic field, we prove a congruence of Ankeny--Artin--Chowla-type for prime power modulus. Additionally, we show how some classical congruences relating Bernoulli numbers and Wilson quotients fit naturally into the theory of the $p$-adic Riemann zeta function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07478 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on arithmetic congruences Fellini, Nic Number Theory 11R29 (Primary), 11R11, 11R42 (Secondary) By analyzing the coefficients of the power series defining the Kubota--Leopoldt $p$-adic $L$-function associated to the non-trivial character of a real quadratic field, we prove a congruence of Ankeny--Artin--Chowla-type for prime power modulus. Additionally, we show how some classical congruences relating Bernoulli numbers and Wilson quotients fit naturally into the theory of the $p$-adic Riemann zeta function. |
| title | A note on arithmetic congruences |
| topic | Number Theory 11R29 (Primary), 11R11, 11R42 (Secondary) |
| url | https://arxiv.org/abs/2508.07478 |