A remark on an arithmetic function. Part 1

Krassimir Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 15, 2009, Number 1, Pages 22—24
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Krassimir Atanassov
CLBME – Bulgarian Academy of Sciences
P.O.Box 12, Sofia-1113, Bulgaria

Abstract

In a series of papers the author studied constructed formulae of n-th prime number pn, based on some arithmetic functions φ and σ (see, e.g. [3, 4]). Here a new arithmetic function will be introduced and used to construct a formula for pn. Probably, this formula will be simpler than the previous ones.

References

  1. Atanassov K., New integer functions, related to “φ” and “σ” functions, Bulletin of Number Theory and Related Topics, Vol. XI (1987), No. 1, 3-26.
  2. Atanassov K., Some assertions on “φ” and “σ” functions, Bulletin of Number Theory and Related Topics, Vol. XI (1987), No. 1, 50-63.
  3. Chandrasekharan K. Introduction to Analytic Number Theory. Springer-Verlag, Berlin, 1968.
  4. Nagell T., Introduction to number theory, John Wiley & Sons, New York, 1950.
  5. Atanassov, K. A new formula for the n-th prime number. Comptes Rendus de l’Academie Bulgare des Sciences, Vol. 54, 2001, No. 7, 5-6.
  6. Atanassov, K. On a new formula for the n-th prime number. Notes on Number Theory and Discrete Mathematics, Vol. 10, 2004, No. 1, 24.
  7. Mitrinović, D., M. Popadić, Inequalities in Number Theory. Nis, Univ. of Nis, 1978.

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Cite this paper

APA

Atanassov, K. (2009). A remark on an arithmetic function. Part 1. Notes on Number Theory and Discrete Mathematics, 15(1), 22-24.

Chicago

Atanassov, Krassimir. “A Remark on an Arithmetic Function. Part 1.” Notes on Number Theory and Discrete Mathematics 15, no. 1 (2009): 22-24.

MLA

Atanassov, Krassimir. “A Remark on an Arithmetic Function. Part 1.” Notes on Number Theory and Discrete Mathematics 15.1 (2009): 22-24. Print.

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