Related papers: Was There a Beginning?

In this paper we discuss and prove some new strong convergence theorems for partial sums and Fej\'er means with respect to the Vilenkin system.

We remark on the validity of the concerns raised in the comment(cond-mat/0304626) by Fal'ko, Lerner, Tsyplyatyev, and Aleiner..

The article provides a counterexample to a conjecture by Blocki-Zwonek.

This document contains a description of several of my papers, including remarks on history and connection with subsequent work. It also contains some new results and conjectures.

The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].

This note was written in Jan. 23, 2015 to answer a problem raised by G. Moser, who asked a constructive proof of a theorem by Ferreira-Zantema.

A popular scientific contribution should not contradict any established facts and ought to be understandable. I complied with both these requirements and am offering a sufficiently full introduction to probability theory. Furthermore, I…

We provide new sufficient conditions under which Ryser's conjecture holds.

A conjecture regarding the structure of expander graphs is discussed.

Reply to the recent comment by I.Ispolatov and M.Karttunen, cond-mat/0303564

Remarks relating the various notions of corks.

In this note we give the answer to the question posed by V. N. Dubinin concerning covering properties of complex polynomials

This is a brief response to a recent posting by Gross.

In this article I chronicle a series of landmark events, with which I was personally involved, that relate to the development of the theory of cosmic life. The interpretation of events offered here might invite a sense of incredulity on the…

A proof of Sendov's conjecture is given.

Withdrawn -- a revised version will appear in due course.

An technically interesting proof of a known theorem.

We give necessary and sufficient conditions for the Chebyshev inequality to be an equality.

Over one year ago, a very long preprint posted on arXiv [arXiv:1709.03771] and HAL announced a proof of Lehmer's Conjecture (and of other related results). Unfortunately, as was remarked by several specialists, this proof contains a (at…

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.