Some properties of the sum C-1(h, k)
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Date
2017
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Journal ISSN
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Publisher
Amer Phyical Soc
Abstract
In [10], we have investigated properties of the sum C-1 (h, k). In this paper, we will give some other arithmetic properties of the sum C-1 (h, k). Moreover, in the light of the sum B-1 (h, k), which has also defined in [10], we will give specific values of the sum C1 (h, k) when h + k is an odd number. Finally, we will give a relation between the sum CI(h, k) and the Hardy-Berndt sum s 5(h, k) for a special case.
Description
Bu çalışma, 19-25, Eylül 2016 tarihlerinde Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) Kongresi‘nde bildiri olarak sunulmuştur.
Keywords
Mathematics, Physics, Hardy sums, Dedekind sums, Two-term polynomial relation, Greatest integer function, Y(h, k) sums, C-1 (h, k) sums, B-1 (h, k) sums, Analytic properties, Theta-functions, Eisenstein, Series
Citation
Çetin, E. (2017). ''Some properties of the sum C-1(h, k)''. ed, T. Simos vd. AIP Conference Proceedings, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (ICNAAM-2016), 1863.