Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON THE BOUND FOR THE SUM OF THE ABSOLUTE VALUE OF MÖBIUS FUNCTION

  • Kimy, Insuk (Department of Mathematical education, Wonkwang University) ;
  • Cho, Myung Hyun (Department of Mathematical education, Wonkwang University)
  • Received : 2014.05.09
  • Accepted : 2014.05.31
  • Published : 2014.06.25
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Abstract

With the properties of Riemann zeta function, we find an asymptotic formula of the sum for the absolute value of M$\ddot{o}$bius function, $\sum_{n{\leq}x}{\mid}{\mu}(n){\mid}$, using Dirichlet inversion formula.

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References

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Cited by

  1. ON THE SUM OF CERTAIN MULTIPLICATIVE FUNCTIONS vol.36, pp.3, 2014, https://doi.org/10.5831/HMJ.2014.36.3.689