The Journal of the Indian Mathematical Society

C. S. Venkataraman ¹

Affiliations
1 University of Madras, IN

Abstract

In his memoir "The Theory of Multiplicative Arithmetic Functions", Dr. R. Vaidyanathaswamy mentions certain important types of multiplicative functions of r(> I) arguments, viz. (i) the ordinal, (2) the principal and (3) the modular functions.

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C. S. Venkataraman ¹

Affiliations
1 Trivandrum, IN

Abstract

The object of this paper is first to establish an important reversible one-to-one correspondence between general multiplicative functions⁽¹⁾ and the ordinal functions.† This correspondence may be referred to as the ordinal correspondence ‡ A remarkable feature of the ordinal correspondence is that it-leaves invariant, the product and the composite of two multiplicative functions, as well as, the inverse of any function.

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A. C. Vasu ¹, V. V. Subrahmanya Sastri ², C. S. Venkataraman ³

Affiliations
1 TC 14/684, Nandavanam, Trivandrum-69S 033, IN
2 Department of Mathematics, Sri Venkateswara University, Tirupati-517 502, IN
3 EPSILON, 32/111 Kunnath Lane, Trichur-680001, IN

Abstract

Let N be the set of aH natural numbers and R_p the set of all (positive) rational primes. To every n ∈ N, we associate a set A(n) ⊆ D(n), the set of all (positive) divisors of n such that the following conditions (1.1) to (1.7) are satisfied.

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