A further $q$-generalization of the (C.2) and (G.2) supercongruences of Van Hamme
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917364344291328 |
|---|---|
| author | Li, Song-Xiao Wang, Su-Dan |
| author_facet | Li, Song-Xiao Wang, Su-Dan |
| contents | Applying the $q$-Zeilberger algorithm, we establish a unified $q$-analogue of the (C.2) and (G.2) supercongruences of Van Hamme, which can be viewed as a refinement of several previously known results. As consequences, we obtain a $q$-analogue of supercongruence involving Bernoulli numbers, as well as a refinement of (G.2) supercongruence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26223 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A further $q$-generalization of the (C.2) and (G.2) supercongruences of Van Hamme Li, Song-Xiao Wang, Su-Dan Number Theory Applying the $q$-Zeilberger algorithm, we establish a unified $q$-analogue of the (C.2) and (G.2) supercongruences of Van Hamme, which can be viewed as a refinement of several previously known results. As consequences, we obtain a $q$-analogue of supercongruence involving Bernoulli numbers, as well as a refinement of (G.2) supercongruence. |
| title | A further $q$-generalization of the (C.2) and (G.2) supercongruences of Van Hamme |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.26223 |