DOI QR코드

DOI QR Code

ON THE SUM OF CERTAIN MULTIPLICATIVE FUNCTIONS

  • Kim, Insuk (Department of Mathematical education, Wonkwang University) ;
  • Jun, Sungtae (Office of general education, Konkuk University)
  • 투고 : 2014.08.18
  • 심사 : 2014.08.28
  • 발행 : 2014.09.25

초록

We find an asymptotic formula of the sum of multi-plicative functions with Dirichlet inversion formula.

키워드

참고문헌

  1. H. Davenport, Multiplicative number theory, 3rd., Springer-Verlag, 2000.
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  4. H. Montgomery, Topics in multiplicative number theory, Springer-Verlag, 1971.
  5. A. Selberg, Contributions to the theory of the Riemann zeta function, Arch. Math. Naturbid. B 48 (1946), 89-155.
  6. A. Selberg, An elementary proof of the prime number theorem, Ann. of Math. 50(2) (1949), 305-313. https://doi.org/10.2307/1969455