Abstract
Let Δ ( x ) be the error term in the Dirichlet divisor problem. The purpose of this paper is to study the difference between two kinds of mean value formulas of Δ ( x ) , that is, the mean value formulas ∫ 1 x Δ ( u ) k du and ∑ n ⩽ x Δ ( n ) k with a natural number k. In particular we study the case k = 2 and 3 in detail.
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