On the differences between two kinds of mean value formulas of number-theoretic error terms

DOI10.1142/S1793042114500195zbMath1312.11078MaRDI QIDQ2876597

Jun Furuya, Yoshio Tanigawa, Zhai, Wenguang, Xiaodong Cao

Publication date: 19 August 2014

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

zbMATH Keywords

mean value formulasthe circle problemRankin-Selberg's problemthe divisor problem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Rate of growth of arithmetic functions (11N56)

Related Items (3)

On the mean of the shifted error term in the theory of the Dirichlet divisor problem ⋮ A generalized divisor problem and the sum of Chowla and Walum. II ⋮ The average behaviour of the error term in a new kind of the divisor problem

Cites Work

• On the average orders of the error term in the Dirichlet divisor problem
• On the mean square of the error term for the asymmetric two-dimensional divisor problems. II
• Dirichlet series obtained from the error term in the Dirichlet divisor problem
• On a conjecture of S. Chowla and of S. Chowla and H. Walum. II
• Large values of the error term in the divisor problem
• Mean square of the remainder term in the Dirichlet divisor problem
• ON THE FIFTH-POWER MOMENT OF Δ(x)
• Some identities for the Riemann zeta-function
• Convolutions and mean square estimates of certain number-theoretic error terms
• On the mean square formula of the error term in the Dirichlet divisor problem
• On Riesz means of the coefficients of the Rankin–Selberg series
• Exponential Sums and Lattice Points III
• On higher-power moments of Δ(x) (II)
• Higher-Power Moments of δ(x ), E(t ) and P(x )
• On higher-power moments of Δ(x) (III)

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