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Positive Rational Number of the Form
Journal: Academic Journal of Applied Mathematical Sciences (Vol.6, No. 7)Publication Date: 2020-07-13
Authors : Hongjian Li; Pingzhi Yuan; Hairong Bai;
Page : 93-99
Keywords : Representation of positive rational numbers; Euler's totient function.;
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Abstract
Let (Equation) and (Equation) be positive integers with (Equation) . In this paper, we show that every positive rational number can be written as the form (Equation), where m,n∈N if and only if (Equation) or (Equation) . Moreover, if (Equation) , then the proper representation of such representation is unique.
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Last modified: 2020-08-19 14:02:05