Deyu Zhang
Abstract
The asymptotic formulas for the sums ∑δ(n)d(n),∑δ(n)θ(n) are obtained,where δ(n) is the characteristic function of square-full integers,d(n) is the number of divisors of n,and θ(n) is the number of squarefree divisors of n.
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The asymptotic formulas for the sums ∑δ(n)d(n),∑δ(n)θ(n) are obtained,where δ(n) is the characteristic function of square-full integers,d(n) is the number of divisors of n,and θ(n) is the number of squarefree divisors of n.
Key concepts: Square-free integer, Mathematics, Divisor (algebraic geometry), Divisor function, Combinatorics, Square (algebra), Asymptotic formula, Function (biology)