Related papers: Further Improvements on Waring's Problem

We provide infinitely many solutions of a Dirichlet problem on balls.

We survey recent developments in the theory and applications of the broken ray transforms. Furthermore, we discuss some open problems.

The issue of consistent power counting in baryon chiral perturbation theory is revisited.

This is a brief review of the present status, of some recent developments and of the open challenges in string/M theory.

A brief account is given of the problems involved in extended the pinch technique beyond the one-loop level, and of investigations into one possible approach to solving them.

In this paper we give a generalization of a result of Wei.

Progress is reviewed in the understanding of color confinement .

In this paper we extend our findings in [3] and answer further questions regarding continuity and discontinuity of seminorms on infinite-dimensional vector spaces.

This paper is the continuation of the previous two papers with the same title.

Our number system is a magnificent tool. But it is far from perfect. Can it be improved? In this paper some possibilities are discussed, including the use of a different base or directed (negative as well as positive) numerals. We also put…

We prove several extensions of the Erdos-Fuchs theorem.

We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.

This paper continues a series in which we study deficiencies in previously published works concerning fixed point assertions for digital images.

We improve a result of Bennett concerning certain sequences involving sums of powers of positive integers.

The purpose of this note is to give a self contained description of Walls finiteness obstruction.

This paper discusses some topics of enquiry concerning fractals, functions on them, and so on.

We establish some new generalizations of Erd\H{o}s-Mordell inequality by adding weights to its terms. Using these generalizations, we derived strengthened versions of the original Erd\H{o}s-Mordell inequality. We also found two other…

This paper contains a review of available methods for establishing improved interpolation inequalities on the sphere for subcritical exponents. Pushing further these techniques we also establish some new results, clarify the range of…

This article gives a brief survey of the theory and applications of anomalies.

Another approach to constructing an upper bound for the Riemann-Farey sum is described.