Sums of squares of binomial coefficients, with applications to Picard-Fuchs equations

Details Sums of squares of binomial coefficients, with applications to Picard-Fuchs equations Sums of squares of binomial coefficients, with applications to Picard-Fuchs equations

2004-07-19

arxiv.org/abs/math/0407327v1

Mathematics

Combinatorics

20 pages

Scientific paper

For a fixed integer N, and fixed numbers b_1,...,b_N, we consider sequences, the nth term (a_n) of which is the sum of the squares of the terms in the expansion of (b_1 + ... + b_N)^n. In the case all b_i=1, we give a formula for a recurrence relation for the a_n. Otherwise we give an algorithm for finding a recurrence relation. As an application, we give the Picard-Fuchs equations for certain families of elliptic curves.

Affiliated with

Also associated with

No associations

Rating

Sums of squares of binomial coefficients, with applications to Picard-Fuchs equations 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 Sums of squares of binomial coefficients, with applications to Picard-Fuchs equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sums of squares of binomial coefficients, with applications to Picard-Fuchs equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-535724