On the integral of the error term in the Dirichlet divisor problem

Details On the integral of the error term in the Dirichlet divisor problem On the integral of the error term in the Dirichlet divisor problem

2005-10-06

arxiv.org/abs/math/0510114v1

Bulletin CXXI ACad\'emie Serbe des Sciences et des Arts, Classe Sciences Math. No.25, 2000, 31-45

Mathematics

Number Theory

15 pages

Scientific paper

Several results are obtained concerning the function $\Delta_k(x)$, which
represents the error term in the general Dirichlet divisor problem. These
include the estimates for the integral of this function, as well as for the
corresponding mean square integral. The mean square integral of $\Delta_2(x)$
is investigated in detail.

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