The distribution of 4-full numbers
The greatest prime factor of the integers in an interval
On the number of abelian groups of a given order
On the number of abelian groups of a given order (supplement)
1. Introduction. The aim of this paper is to supply a still better result for the problem considered in [2]. Let A(x) denote the number of distinct abelian groups (up to isomorphism) of orders not exceeding x. We shall prove Theorem 1. For any ε > 0, , where C₁, C₂ and C₃ are constants given on page 261 of [2]. Note that 50/199=0.25125..., thus improving our previous exponent 40/159=0.25157... obtained in [2]. To prove Theorem 1, we shall proceed along the line of approach presented in [2]....
The number of cube-full numbers in an interval
On some divisor problems
The number of squarefull numbers in an interval
On a fundamental result in van der Corput's method of estimating exponential sums
Divisor problems of 4 and 3 dimensions
On the estimates of double exponential sums
Numbers with a large prime factor
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