Explicit formulas of a generalized Ramanujan sum

DOI10.1142/S1793042116500238zbMath1338.11091arXiv1311.2816OpenAlexW2963892044MaRDI QIDQ2789371

Patrick Kühn, Nicolas Robles

Publication date: 29 February 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2816

zbMATH Keywords

prime number theoremexplicit formulasRamanujan sums

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Rate of growth of arithmetic functions (11N56)

Related Items (8)

On Ramanujan sums of a real variable and a new Ramanujan expansion for the divisor function ⋮ Sums of averages of generalized Ramanujan sums ⋮ On sums of sums involving cube-full numbers ⋮ On a class of functions that satisfies explicit formulae involving the Möbius function ⋮ On a sum involving squarefull numbers. II ⋮ Moments of averages of generalized Ramanujan sums ⋮ On a sum involving squarefull numbers ⋮ On sums of sums involving squarefull numbers

Cites Work

• On some complex explicit formulae connected with the Mobius function. II
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