ON A NEW CIRCLE PROBLEM

DOI10.1017/S1446788716000525zbMath1430.11132OpenAlexW2556419756MaRDI QIDQ5369424

Yoshio Tanigawa, Jun Furuya, Makoto Minamide

Publication date: 17 October 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788716000525

zbMATH Keywords

circle problemderivative of Riemann zeta-functionderivative of Dirichlet \(L\)-functiontruncated Voronoï formula

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

Related Items (2)

On representations of error terms related to the derivatives for some Dirichlet series ⋮ The average behaviour of the error term in a new kind of the divisor problem

Cites Work

• On integrals and Dirichlet series obtained from the error term in the circle problem
• Mean values of the Riemann zeta-function and its derivatives
• Lectures on a method in the theory of exponential sums
• On a theorem of Müller and Carlitz
• Representations and evaluations of the error term in a certain divisor problem
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