Date of Award
5-1968
Degree Type
Report
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
Committee Chair(s)
R. G. Nath
Committee
R. G. Nath
Abstract
Quite frequently in the study of number theory we become acquainted with special functions which are defined on the set of positive integers. These functions are known as Number-theoretic functions or Arithmetical functions. This report will give some of the general ideas of the multiplicative number-theoretic functions.
The first part of this report will be devoted to the general development of such functions by means of definitions and theorems. The second part will consist of generalizations of a particular function, the -r-function.
Throughout this paper, lower case Greek letters will represent real numbers and lower case English letters will represent integers. Also the basic ideas of summation and product will be assumed as already familiar to the reader.
Recommended Citation
Erickson, Barney Lee, "Multiplicative Number - Theoretic Functions" (1968). All Graduate Plan B and other Reports, Spring 1920 to Spring 2023. 1108.
https://digitalcommons.usu.edu/gradreports/1108
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