| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
26 April 2024 |
|
| | | |
|
Article forum
| |
|
Polynomial extension of Fleck's congruence | Zhi-Wei Sun
; | Date: |
1 Jul 2005 | Subject: | Number Theory; Combinatorics MSC-class: 11B65; 05A10; 11A07; 11B68; 11S05 | math.NT math.CO | Abstract: | Let p be a prime, and let f(x) be an integer-valued polynomial. By a combinatorial approach, we obtain a nontrivial lower bound of the p-adic order of the sum $$sum_{k=r(mod p^{eta})}inom{n}{k}(-1)^k f([(k-r)/p^{alpha}]),$$ where $alphageetage 0$, $nge 0$ and $rin Z$. This polynomial extension of Fleck’s congruence has various backgrounds and several consequences. | Source: | arXiv, math.NT/0507008 | Services: | Forum | Review | PDF | Favorites |
|
|
No message found in this article forum.
You have a question or message about this article?
Ask the community and write a message in the forum.
If you want to rate this article, please use the review section..
To add a message in the forum, you need to login or register first. (free): registration page
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |