Generative 3D Images in a visual evolutionary computing system
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
Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges
In this paper we investigate the hypergraphs whose spectral radii attain the maximum among all uniform hypergraphs with given number of edges. In particular we characterize the hypergraph(s) with maximum spectral radius over all unicyclic hypergraphs, linear or power unicyclic hypergraphs with given girth, linear or power bicyclic hypergraphs, respectively.
On the interpoint distance sum inequality.
The optimal convex combination bounds for Seiffert's mean.
Some recurrence relations for Cauchy numbers of the first kind.
Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation.
Some subclasses of meromorphic functions associated with a family of integral operators.
Some properties of certain class of integral operators.
A note on some new refinements of Jensen's inequality for convex functions.
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