相关论文: Further Improvements on Waring's Problem

By some new recursive algorithms, in this paper, we will give some improvements on Waring's problem.

In this paper, we will present a new iterative construction for the auxiliary equation of Waring's problem, which seems a little simpler than the one of so called "smooth numbers" in papers [4] and [8], and give same upper bounds of G(k) as…

We present some questions and suggestion on the second part of the Hilbert 16th problem

Some symmetry problems are formulated and solved. New simple proofs are given for the earlier studied symmetry problems.

In this note we briefly survey and propose some open problems related to isoparametric theory.

We provide a brief topical outline of the persisting problem of the hyperon polarization and consider some future experimental prospects. The predictions which deserve experimental verification are proposed.

We prove an improved form of an expectation of Polya and discuss several related questions

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

The aim of this work is to improve Wilker inequalities near the origin and {\pi}/2.

The aim of this article is to give some improvements of Jordan-Steckin and Becker-Stark inequalities discussed in [1].

A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.

We survey the history of the capset problem in the context of related results on progression-free sets, discuss recent progress, and mention further directions to explore.

Continuing the discussion of the problem of electromagnetic properties of neutrinos, in this note we present additional information on this problem and focus on selected issues that have been developed recently, after the publication of our…

Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.

Work in progress concerning alternative formalizations of arithmetic.

We present inequalities and some applications to Kellers' limit and Carlemans' inequality.

This is an update on, and expansion of, our paper Open problems on $\beta\omega$ in the book Open Problems in Topology.

Some problems of testology are discussed.

The paper deals with continuous solutions of a Schilling's problem.

Here we give a short survey of our new results. References to the complete proofs can be found in the text of this article and in the litterature.