MMN-1284

Closed form evaluation of Melham's reciprocal sums

Emrah Kilic; Helmut Prodinger;

Abstract

Recently Melham <cite>Mel</cite> gives closed formulæ for certain finite reciprocal sums. In this paper, we present a different approach to compute these sums in closed form. Our approach is straight-forward and simple. First we convert the sums in q-notation, then use partial fraction decomposition and telescoping to derive closed formulæ.


Vol. 18 (2017), No. 1, pp. 251-264
DOI: https://doi.org/10.18514/MMN.2017.1284


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