Character analogues of the higher order Hardy--Berndt sums
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Abstract (EN)
In this thesis, the character analogs of six higher-order Hardy-Berndt sums are defined and the corresponding reciprocity relations (linear relations) are obtained. It is also investigated whether the character analogs of the previously defined sums are obtained in special cases and it is observed that it provided reciprocity relations for the character Hardy-Berndt sum in the sense of Apostol (1950), Mikolás (1957), Rademacher (1956, 1964) and Carlitz (1964).
Author
Fatih Erdoğan
How to Cite
Fatih Erdoğan (Master Thesis). Character analogues of the higher order Hardy--Berndt sums, 2024, Akdeniz University.
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