On representations of error terms related to the derivatives for some Dirichlet series

zbMath1427.11093MaRDI QIDQ1746523

Jun Furuya, Yoshio Tanigawa, T. Makoto Minamide

Publication date: 25 April 2018

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1520046215

zbMATH Keywords

Dirichlet seriesGauss circle problem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06)

Cites Work

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• The average behaviour of the error term in a new kind of the divisor problem
• A generalized divisor problem and the sum of Chowla and Walum. II
• On integrals and Dirichlet series obtained from the error term in the circle problem
• On a conjecture of Chowla and Walum
• The Pjateckii-Sapiro prime number theorem
• Divisor problems and exponent pairs
• Contributions to the analytic theory of numbers
• A generalized divisor problem and the sum of Chowla and Walum
• Representations and evaluations of the error term in a certain divisor problem
• Exponential Sums and Lattice Points III
• ON A NEW CIRCLE PROBLEM

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