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Selected Works of Tian-Xiao He
Article
On the Generalized Möbius Inversion Formulas
Blletin of the Australian Mathematical Society (2006)
  • Tian-Xiao He, Illinois Wesleyan University
  • Peter J. S. Shiue3
  • Leetsch C. Hsu, Dalian University of Technology
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Abstract

We provide a wide class of M¨obius inversion formulas in terms of the generalized M¨obius functions and its application to the setting of the Selberg multiplicative functions.

Keywords
  • Multiplicative function,
  • completely multiplicative function,
  • M¨obius inversion,
  • Selberg multiplicative functions.
Disciplines
Publication Date
2006
Publisher Statement
Bulletin of the Australian Mathematical Society is published by Cambridge University Press, http://journals.cambridge.org/action/displayJournal?jid=BAZ.
Citation Information
Tian-Xiao He, Peter J. S. Shiue3 and Leetsch C. Hsu. "On the Generalized Möbius Inversion Formulas" Blletin of the Australian Mathematical Society Vol. 73 (2006)
Available at: http://works.bepress.com/tian_xiao_he/5/