Analytic properties of the sum B1(h, k)
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Date
2016
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Abstract
In this paper, with the help of the Hardy and Dedekind sums we will give many properties of the sum B1(h, k), which was defined by Cetin et al. Then we will give the connections of this sum with the other well-known finite sums such as the Dedekind sums, the Hardy sums, the Simsek sumsY(h, k) and the sum C1(h, k). By using the Fibonacci numbers and two-Term polynomial relation, we will also give a new property of the sum B1(h, k). © 2016 by the authors; licensee MDPI, Basel, Switzerland.