New identities involving certain Hardy sums and two-term exponential sums

Muhammet Cihat Dağlı ()
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Muhammet Cihat Dağlı: Akdeniz University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 3, 841-847

Abstract: Abstract In this paper, we present a new reciprocity formula for certain Hardy sums and study a computational problem of one type mean value containing certain Hardy sums and the two-term exponential sum with the help of the properties of Gauss sums and Dirichlet $$L-$$ L - function.

Keywords: Dedekind sum; Hardy sum; Two-term exponential sum; Mean value; Dirichlet $$L-$$ L - function; 11L40; 11F20; 11M06 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00302-0

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