Sums of squares of binomial coefficients, with applications to Picard-Fuchs equations
| dc.creator | Verrill, H. A. | |
| dc.date | 2004-07-19 | |
| dc.date.accessioned | 2026-07-07T05:10:28Z | |
| dc.date.available | 2026-07-07T05:10:28Z | |
| dc.description | 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. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407327 | |
| dc.identifier | http://arxiv.org/abs/math/0407327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71942 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 05A10, 14D05 | |
| dc.title | Sums of squares of binomial coefficients, with applications to Picard-Fuchs equations | |
| dc.type | text |