Date of Award
Master of Science (MS)
Mathematics and Statistics
R. G. Nath
R. G. Nath
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.
Erickson, Barney Lee, "Multiplicative Number - Theoretic Functions" (1968). All Graduate Plan B and other Reports. 1108.
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