Convolution sums of restricted divisor functions derived from Dirichlet convolution
Copyright policy )Convolution sums of restricted divisor functions derived from Dirichlet convolution
In this article, the convolution sums of six restricted divisor functions considered by Glaisher are studied. Using the properties of Dirichlet convolution, we try to find the inverse functions of four restricted divisor functions and use these to find the formulae for the convolution sums under the given relatively primeness conditions.
Multiplicative number theory, Arithmetic functions; related numbers; inversion formulas, restricted divisor functions, Units and factorization, convolution sums, Quadratic and bilinear Diophantine equations, Dirichlet convolution
Multiplicative number theory, Arithmetic functions; related numbers; inversion formulas, restricted divisor functions, Units and factorization, convolution sums, Quadratic and bilinear Diophantine equations, Dirichlet convolution
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