On sums and differences of two coprime kth powers
On the average number of direct factors of finite abelian groups (II)
On a system of two diophantine inequalities with prime numbers
On primitive lattice points in planar domains
Asymptotics for a class of arithmetic functions
We study the asymptotic behaviour of the summatory function of a class of arithmetic functions. These functions are generalizations of the well-known general 4-dimensional divisor function d₄(n). We show that the corresponding error estimate is the best one can obtain by the present methods of analytic number theory.
On higher-power moments of Δ(x)
On the mean value of the index of composition of an integer
On higher-power moments of Δ(x) (II)
On higher-power moments of Δ(x) (III)
On higher-power moments of E(t)
On the number of primitive Pythagorean triangles
On the error term in Weyl's law for Heisenberg manifolds
On the distribution of modulo one
In this paper, we give a new upper-bound for the discrepancy for the sequence , when and .
The distribution of square-free numbers of the form
It is proved that the sequence contains infinite squarefree integers whenever , which improves Rieger’s earlier range .
On the average number of direct factors of finite abelian groups
On the average number of unitary factors of finite abelian groups
Multiple exponential sums with monomials
On the number of coprime integer pairs within a circle
Some problems about the ternary quadratic form m₁² + m₂² + m₃²
The equation n₁n₂ = n₃n₄, the gcd-sum function and the mean values of certain character sums
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