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On mean square of the error term of a multivariable divisor function
AIMS Mathematics 2024, 9(10): 29197-29219
Published: 15 October 2024
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Let τ(n) be the Dirichlet divisor function and k2 be a fixed integer. We give an asymptotic formula of the mean square of

Δk(x)=n1,,nkxτ(n1nk)xkPk(logx).

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