Lattice paths and positive trigonometric sums

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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.
Publisher
SPRINGER VERLAG
Issue Date
1999
Language
English
Article Type
Article
Citation

CONSTRUCTIVE APPROXIMATION, v.15, no.1, pp.69 - 81

ISSN
0176-4276
URI
http://hdl.handle.net/10203/75172
Appears in Collection
MA-Journal Papers(저널논문)
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