Journal of Integer Sequences, Vol. 17 (2014), Article 14.5.4

On Reciprocity Formulas for Apostol's Dedekind Sums and Their Analogues

M. Cihat Dağlı and Mümün Can
Department of Mathematics
Akdeniz University
TR-07058 Antalya


Using the Euler-MacLaurin summation formula, we give alternative proofs for the reciprocity formulas of Apostol's Dedekind sums and generalized Hardy-Berndt sums s3,p(b,c) and s4,p(b,c). We also obtain an integral representation for each sum.

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Received January 10 2014; revised version received February 28 2014. Published in Journal of Integer Sequences, March 23 2014.

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