CHANGING RELATIONSHIP BETWEEN SETS USING CONVOLUTION SUMS OF RESTRICTED DIVISOR

CANGÜL İ. N., Kim D.

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, vol.41, no.3, pp.553-567, 2023 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.14317/jami.2023.553
  • Journal Name: JOURNAL OF APPLIED MATHEMATICS & INFORMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.553-567
  • Keywords: Graph, potential for change, Dirichlet convolution, convolution sum, divisor function, sum of squares
  • Bursa Uludag University Affiliated: Yes

Abstract

. There are real life situations in our lives where the things are changing continuously or from time to time. It is a very important problem for one whether to continue the existing relationship or to form a new one may change their opinion or position rapidly. In this work, we think of the problem of changing relationships from a mathematical point of view and think of an answer. In some sense, we comment these changes as power changes. Our number theoretical model will be based on this idea. Using the convolution sum of the restricted divisor function E, we obtain the answer to this problem.