On Solving Some Trigonometric Series

2013/08/05 by Stenlund, Henrik
#11M32 #11M41 #30B50 #33B15 #41A58 #42A24 #42A32 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1308.2626

Abstract

This communication shows the track for finding a solution for a sin(kx)/k**2 series and a fresh representation for the Euler's Gamma function in terms of Riemann's Zeta function. We have found a new series expression for the logarithm as a side effect. The new series are useful both for analysis, approximations and asymptotic studies.

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