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ON THE IDENTITIES BETWEEN THE ARITHMETIC FUNCTIONS
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  • Journal title : Honam Mathematical Journal
  • Volume 37, Issue 4,  2015, pp.423-429
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2015.37.4.423
 Title & Authors
ON THE IDENTITIES BETWEEN THE ARITHMETIC FUNCTIONS
KIM, INSUK;
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 Abstract
Dirichlet series is a Riemann zeta function attached with an arithmetic function. Here, we studied the properties of Dirichlet series and found some identities between arithmetic functions.
 Keywords
zeta function; function;Euler function;
 Language
English
 Cited by
 References
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A. Ivic, The Riemann zeta-function, Wiley, 1985.

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H. Montgomery, Topics in multiplicative number theory, Springer-Verlag, 1971.

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A. Selberg, Contributions to the theory of the Riemann zeta function, Arch. Math. Naturbid. Vol.48 (1946), 89-155.

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A. Selberg, An elementary proof of the prime number theorem, Ann. of Math. Vol.50(2) (1949), 305-313. crossref(new window)