, Volume 15, Issue 1, pp 69-81
Date: 09 Jan 1999

Lattice Paths and Positive Trigonometric Sums

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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.

January 22, 1997. Date revised: July 9, 1997.