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
Turkey
Abstract:
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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