Related papers: A problem of Polya

The goal of this note is to fill a gap in the proof of the first two items of Theorem 5.1 in [4], which relies on Polya type inequalities and the characterization of the equality cases for monotone rearrangements given in Propositions 4.1…

The similarity between the Polya's conjecture and the Bonomol'nyi bound remind us to consider a physical approach to Polya's conjecture. We conjecture a duality between the waves and the soliton solutions on the surface. We consider the…

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

We prove some new results related to Tanaka's formula.

A proposed solution to the Riemann Hypothesis

In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.

In this paper, we will continue the investigation of Waring's problem, and give further improvements.

We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.

We claim to resolve the P=?NP problem via a formal argument for P=NP.

We prove a recent conjecture by Ulas on reducible polynomial substitutions.

An technically interesting proof of a known theorem.

One of the two basic theorems in [5] on the existence of solutions of PDEs is improved with the use of a group analysis type argument.

In 2004, some equivalent versions of Polya's permanent problem were listed in 24 versions. However, there is a flaw on the theorem that affirms an equivalence of version 11 and 12. In order to correct the slip, we provide a characterization…

We prove a variation of Gronwall's lemma.

We introduce a new criterion which if satisfied implies the Riemann hypothesis.

We prove some extensions of Andrews inequality.

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

Although there is an extensive literature on the upper bound for cumulative standard normal distribution, there are relatively not sharp for all values of the interested argument x. The aim of this paper is to establish a sharp upper bound…

The Polya group of a number field K is the subgroup of the class group of K generated by the classes of the products of the maximal ideals with same norm. A Polya field is a number field whose Polya group is trivial. Our purpose is to start…

In this paper we prove the Polya-Inequality for integrands depending on a function u and its gradient. We also establish cases of equality in this symmetrization inequality.