On the mean value of the error term for a class of arithmetical functions

DOI10.1007/BF02391764zbMath0128.26302MaRDI QIDQ2394655

Raghavan Narasimhan, K. Chandrasekharan

Publication date: 1964

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

circle problemmean value theoremsummatory functionsDirichlet divisor problemremainder termsDedekind zeta-functionRamanujan tau-functioncoefficients of Dirichlet series

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other analytic theory (11R47)

Related Items (14)

Tong-type identity and the mean square of the error term for an extended Selberg class ⋮ Recent results about the prime ideal theorem ⋮ Mean value theorems for a class of Dirichlet series ⋮ On sums involving Fourier coefficients of Maass forms for \(\mathrm{SL}(3,\mathbb Z)\) ⋮ Sign changes of coefficients and sums of coefficients of \(L\)-functions ⋮ On the Dedekind zeta function ⋮ Mean square estimates for coefficients of symmetric power \(L\)-functions ⋮ The second moment of sums of coefficients of cusp forms ⋮ Short-interval averages of sums of Fourier coefficients of cusp forms ⋮ On the mean square of the error term for Dedekind zeta functions ⋮ Mean value theorems for automorphic $L$-functions ⋮ On the error term and zeros of the Dedekind zeta function ⋮ Fractional part sums and lattice points ⋮ Sums of Fourier coefficients related to Hecke eigencusp forms

Cites Work

• Functional equations with multiple gamma factors and the average order of arithmetical functions
• The approximate functional equation for a class of zeta-functions
• Hecke's functional equation and the average order of arithmetical functions

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