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On the Riesz means of \(\frac{n}{\varphi(n)}\). II

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Publication:477312
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DOI10.1007/s00013-014-0691-8zbMath1358.11109OpenAlexW1921613506MaRDI QIDQ477312

Saurabh Kumar Singh, Ayyadurai Sankaranarayanan

Publication date: 3 December 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-014-0691-8

zbMATH Keywords

generating functionsRiemann zeta-functionmean-value theoremsEuler-totient function


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)


Related Items

On the Riesz means of \frac nφ(n) – III, Distribution of values of general Euler totient function, A singular series average and the zeros of the Riemann zeta-function



Cites Work

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  • On an error term of Landau. II
  • On an error term of Landau
  • Functional equations with multiple gamma factors and the average order of arithmetical functions
  • Fractional Moments of the Riemann Zeta-Function
  • Some remarks on the mean value of the Riemann zetafunction and other Dirichlet series. III
  • On an asymptotic formula of Srinivasa Ramanujan
  • CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA ANDL‐FUNCTIONS
  • The mean square of the divisor function
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