24 citations · 34 across the 7 of their papers we have counts for
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math.NT2016★ 1 cited
An integral approach to the Gardner-Fisher and untwisted Dowker sums
Carlos M. da Fonseca, M. Lawrence Glasser, Victor Kowalenko
We present a new and elegant integral approach to computing the Gardner-Fisher trigonometric power sum, which is given by $$ S_{m,v}=\left(\frac π{2m}\right)^{2v}\sum_{k=1}^{m-1}\c…
math.NT2016★ 24 cited
Basic trigonometric power sums with applications
Carlos M. da Fonseca, M. Lawrence Glasser, Victor Kowalenko
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 derivatio…