Results using primitive function module
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DOI:
https://doi.org/10.26637/mjm1003/002Abstract
A real or complex valued function defined on the set of all positive integers is called an arithmetic function and an arithmetic function is said to be completely multiplicative function if f is not identically zero and \(f(mn) = f(m)f(n)\) for all \(m, n\). The objective of this paper is to present a result of completely multiplicative function of two variables using primitive function module.
Keywords:
Arithmetic function, Multiplicative function, Primitive function moduleMathematics Subject Classification:
11A07, 11A25- Pages: 198-203
- Date Published: 01-07-2022
- Vol. 10 No. 03 (2022): Malaya Journal of Matematik (MJM)
T.M. Apostel, An Introduction to Analytical Number Theory, Springer International Student edition, Narosa Publishing House, 1998.
T.C. Brown, L. C. Hsu, J. WANG, And P. J.-S. ShiUe, On a certain kind of generalized number theoretical Mobius function, The Mathematical Scientist, 25(2)(2000), 72-77.
R.G. Buschman, lcm-products of number-theoretic functions revisited, Kyungpook Mathematical Journal, 39(1)(1999), 159-159.
E. Cohen, Arithmetical inversion formulas, Canadian J. Math., 12(1960), 399-409.
L. Тотн, Multiplicative arithmetic functions of several variables: a survey: In Mathematics Without Boundaries (2014), 483-514. Springer, New York, NY.
P.J. McCARthy, Introduction to Arithmetical Functions, Universitext, Springer, 1986.
P.J. McCarthy, Some Remarks on Arithmetical Identities, American Math. Monthly, 67(1956), 539-548.
I. Niven and H.S. Zuckerman, An Introduction to Theory of Numbers: Theory of Numbers-Montgomery, H.L. John Wiley, New York, 1991.
R. K. Muthumalai, Some properties and applications of a new arithmetic function in analytic number theory, NNTDM, 17(3)(2011), 38-48.
R. Sivaramakrishnan, Classical Theory of Arithmetic Functions, in Monographs and Textbooks in Pure and Applied Mathematics, Vol. 126, Marcel Dekker, 1989.
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