Congruences involving $\binom{2k}k^2\binom{3k}km^{-k}$

Details Congruences involving $\binom{2k}k^2\binom{3k}km^{-k}$ Congruences involving $\binom{2k}k^2\binom{3k}km^{-k}$

2011-04-14

arxiv.org/abs/1104.2789v3

Mathematics

Number Theory

28 pages

Scientific paper

Let $p>3$ be a prime, and let $m$ be an integer with $p\nmid m$. In the
paper, based on the work of Brillhart and Morton, by using the work of Ishii
and Deuring's theorem for elliptic curves with complex multiplication we solve
some conjectures of Zhi-Wei Sun concerning
$\sum_{k=0}^{p-1}\binom{2k}k^2\binom{3k}km^{-k}\mod {p^2}$.

Affiliated with

Also associated with

No associations

Rating

Congruences involving $\binom{2k}k^2\binom{3k}km^{-k}$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Congruences involving $\binom{2k}k^2\binom{3k}km^{-k}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Congruences involving $\binom{2k}k^2\binom{3k}km^{-k}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-166882