Character analogues of certain Hardy-Berndt sums
2016
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Advisor: Yrd. Doç. Dr. Mümün Can
Abstract (EN)
In this work, the transformation formulas for the function A₁(z,s,χ), the generalization of logθ₂(z) in the sense of primitive character χ, are obtained. Appearing in the transformation formulae are generalizations of the Hardy-Berndt sums. The corresponding reciprocity formulas for these sums are proved with the help of transformation formulas. Furthermore, several properties of these sums are investigated.
Author
Dr. Merve Çelebi
How to Cite
Merve Çelebi (Master Thesis). Character analogues of certain Hardy-Berndt sums, 2016, Akdeniz University.
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