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arxiv: 1601.07839 · v1 · pith:IXYXJJE6new · submitted 2016-01-28 · 🧮 math.NT

Basic trigonometric power sums with applications

classification 🧮 math.NT
keywords sumsapplicationsappliedbasicclosedcombinatorialcosinecycle
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We present the transformation of several sums of positive integer powers of the sine and cosine into non-trigonometric combinatorial forms. The results are applied to the derivation of generating functions and to the number of the closed walks on a path and in a cycle.

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