Abstract
A trigonometric polynomial generalization to the positivity of an alternating sum of binomial coefficients is given. The proof uses lattice paths, and identifies the trigonometric sum as a polynomial with positive integer coefficients. Some special cases of the q-analogue conjectured by Bressoud are established, and new conjectures are given.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 69-81 |
| Number of pages | 13 |
| Journal | Constructive Approximation |
| Volume | 15 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1999 |
Keywords
- Binomial coefficients
- Lattice paths
- Positivity
- Quadrature