[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2018.435

A STUDY OF SUM OF DIVISOR FUNCTIONS AND STIRLING NUMBER OF THE FIRST KIND DERIVED FROM LIOUVILLE FUNCTIONS

KIM, DAEYEOUL (Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University)
KIM, SO EUN (Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University)
SO, JI SUK (Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University)

Publication Information

Journal of applied mathematics & informatics / v.36, no.5_6, 2018 , pp. 435-446 More about this Journal

Abstract

Using the theory of combinatoric convolution sums, we establish some arithmetic identities involving Liouville functions and restricted divisor functions. We also prove some relations involving restricted divisor functions and Stirling numbers of the first kind for divisor functions.

Keywords

Sum of divisor functions; Dirichlet convolution sums; Liouville function; Stirling numbers of the first kind;

Citations & Related Records

Reference

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