Distributivity over the Dirichlet Product and Completely Multiplicative Arithmetical Functions

1973 ◽  
Vol 80 (4) ◽  
pp. 411 ◽  
Author(s):  
Eric Langford
Keyword(s):  
Arithmetical Functions ◽  
Dirichlet Product

Arithmetical Functions

1994 ◽  
Author(s):  
Wolfgang Schwarz ◽  
Jürgen Spilker
Keyword(s):  
Arithmetical Functions

On Some Rings of Arithmetical Functions

1999 ◽  
Vol 6 (4) ◽  
pp. 299-306
Author(s):  
D. Bhattacharjee
Keyword(s):  
Arithmetical Functions ◽  
Algebraic Properties

Abstract In this paper we consider several constructions which from a given 𝐵-product *𝐵 lead to another one . We shall be interested in finding what algebraic properties of the ring 𝑅𝐵 = 〈𝐶ℕ, +, *𝐵〉 are shared also by the ring . In particular, for some constructions the rings 𝑅𝐵 and will be isomorphic and therefore have the same algebraic properties.

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