Open AccessA Gist of Analogues μ_pto Mobius function μ
Publication year - 2020
Publication title -
international journal for innovative engineering and management research
Language(s) - English
Resource type - Journals
ISSN - 2456-5083
DOI - 10.48047/ijiemr/v09/i12/81
Subject(s) - mathematics , combinatorics , möbius function , multiplicative function , order (exchange) , polynomial , function (biology) , mathematical analysis , finance , evolutionary biology , economics , biology
If f (x) [x] p Z is an irreducible polynomial, the number of polynomials g(x) withdeg(g(x)) deg( f (x)) (g(x), f (x)) =1 is the order of the multiplicative group of[x]/( f (x)) p Z. In this paper we introducing analogues p to Mobius function defined on [x], p Z the set of all primitive polynomials in [x] p Z .