Related papers: A short proof and a generalization of the BKR-ineq…

The goal of this note is to show that a widespread claim about Benford's Law, namely, that the range of every Benford distribution spans at least several orders of magnitude, is false. The proof is constructive and concrete examples are…

The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.

The main result of this paper, as previously presented to arxiv, was incorrect. See the full text for details and for reference to the remaining results.

This note proves a version of Lubell-Yamamoto-Meshalkin inequality for general product measures.

In this note, I develop step-by-step proofs of irrationality for $\,\zeta{(2)}\,$ and $\,\zeta{(3)}$. Though the proofs follow closely those based upon unit-square integrals proposed originally by Beukers, I introduce some modifications…

In this note we present a refinement of the AM-GM inequality, and then we estimate in a special case the typical size of the improvement.

In this article we prove new inequalities for the generalized and the joint spectral radius of bounded sets of positive operators on Banach function and sequence spaces, in particular some inequalities for positive kernel operators that…

We expose here a short proof of Cramer's theorem in R based on convex duality.

Sorry, there are some calculation errors in this paper

In this paper, we prove some inequalities for the differences and ratios of the beta function.

We prove a general inequality for more than two sequences mirroring that of the discrete two-sequence Cauchy-Schwarz.

First a generalized Bell-inequality for different times and for different quasi-spin states is developed. We focus on special quasi-spin eigenstates and times. The inequality based on a local realistic theory is violated by the CP-violating…

Bell's theorem is a fundamental result in quantum mechanics: it discriminates between quantum mechanics and all theories where probabilities in measurement results arise from the ignorance of pre-existing local properties. We give an…

We present a short and self-contained proof of the choosability version of Brooks' theorem.

The paper has been withdrawn by the author due to unhappy mistake in the initial scope of the work.

Errors in Eberly's derivation of several Bell inequalities are pointed out: (1) it is based on an equation that is incorrect; (2) it uses neither two-particle states nor locality to derive Bell's inequalities and; (3) it does not use…

The purpose of this work is to give a direct proof of the multiplicative Brunn-Minkowski inequality in nilpotent Lie groups based on Hadwiger-Ohmann's one of the classical Brunn-Minkowski inequality in Euclidean space.

This article describes a new proof of the equality condition for the Brunn-Minkowski inequality.

We will prove the Brannan conjecture for particular values of the parameter. The basic tool of the study is an integral representation published in a recent work [3].

The aim of this work is to extend Becker-Stark inequalities near the origin and {\pi}/2.