|
| | | | |
| | | |
| Stat |
Members: 3644
Articles: 2'499'343
Articles rated: 2609
16 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Supercongruences for the Almkvist-Zudilin numbers | | Tewodros Amdeberhan
; Roberto Tauraso
; | | Date: |
28 Jun 2015 | | Abstract: | Given a prime number $p$, the study of divisibility properties of a sequence
$c(n)$ has two contending approaches: $p$-adic valuations and
superconcongruences. The former searches for the highest power of $p$ dividing
$c(n)$, for each $n$; while the latter (essentially) focuses on the maximal
powers $r$ and $t$ such that $c(p^rn)$ is congruent to $c(p^{r-1}n)$ modulo
$p^t$. This is called supercongruence. In this paper, we prove a conjecture on
supercongruences for sequences that have come to be known as the
Almkvist-Zudilin numbers. Some other (naturally) related family of sequences
will be considered in a similar vain. | | Source: | arXiv, 1506.8437 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER