| | |
| | |
Stat |
Members: 3645 Articles: 2'504'928 Articles rated: 2609
26 April 2024 |
|
| | | |
|
Article overview
| |
|
Congruences for sums of binomial coefficients | Zhi-Wei Sun
; Roberto Tauraso
; | Date: |
9 Feb 2005 | Subject: | Number Theory; Combinatorics MSC-class: 11B65; 05A10; 11A07 | math.NT math.CO | Abstract: | Let m>0 and q>1 be relatively prime integers. We find an explicit period
u_m(q) such that for any integers nge 0 and r we have [n+
u_m(q),r]_m(a)=[n,r]_m(a) (mod q), provided that a=-1 and n
ot=0, or a is an integer with 1-(-a)^m relatively prime to q, where [n,r]_m(a)=sum_{k=r(mod m)}binomial coeff.{n}{k}a^k. This is a further extension of a congruence of Glaisher. | Source: | arXiv, math.NT/0502187 | 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.
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |