충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제30권1호
  • /
  • Pages.15-19
  • /
  • 2017
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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MÖBIUS FUNCTIONS OF ORDER k IN FUNCTION FIELDS

  • Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
  • 투고 : 2016.08.10
  • 심사 : 2016.12.16
  • 발행 : 2017.02.15
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초록

We introduce the $M{\ddot{o}}bius$ functions ${\mu}k$ of order k and give the asymptotic formula for the summatory function associated to theses functions in function field case.

키워드

과제정보

연구 과제 주관 기관 : Chungbuk National University

참고문헌

  1. T. M. Apostol, Mobius functions of order k. Pacific J. Math. 32 (1970), 21-27. https://doi.org/10.2140/pjm.1970.32.21
  2. E. Cohen, Some sets of integers related to the k-free integers. Acta Sci. Math. Szeged, 22 (1961), 223-233.
  3. D. Suryanarayana, On a theorem of Apostol concerning Mobius functions of order k. Pacific J. Math. 68 (1977), no. 1, 277-281. https://doi.org/10.2140/pjm.1977.68.277
  4. M. Rosen, Number theory in function fields. Graduate Texts in Mathematics, Springer-Verlag, New York, 210 (2002).