Related papers: A generalization of Pappus chain theorem

This note presents a new equivalence to the Riemann Hypothesis by means of the Salem integral equation.

We prove a combination theorem for PD(n)-pairs.

We shall consider some special generalizations of Euler's factorial series. First we construct Pad\'e approximations of the second kind for these series. Then these approximations are applied to study global relations of certain p-adic…

The article presents the proof of Casas-Alvero conjecture.

In this paper, we investigate the extent to which the Bump-Hoffstein conjecture could be generalized for central coverings of general linear groups. We provide evidence for such generalized Bump-Hoffstein conjecture by proving some special…

In this work the author studies the property close to property of order separability.

We present a formulation of the Collatz conjecture that is potentially more amenable to modeling and analysis by automated termination checking tools.

We explain the theory behind our fiber-optical analogue of the event horizon and present the experiment in detail.

We prove the Aharoni Berger Conjecture

We prove the analogue of the Heyde theorem for a-adic solenoids.

We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.

We show that one can construct two equivalent gauge theories from a linking theory and give a general construction principle for linking theories which we use to construct a linking theory that proves the equivalence of General Relativity…

We prove a variation of Gronwall's lemma.

In this paper, we quantify some known approximation to the Curie-Weiss model via applying the Stein method to the Markov chain whose stationary distribution coincides with Curie-Weiss model.

This paper presents a new, significantly simpler proof of one of the main results of applied pi-calculus: the theorem that the concepts of observational and labeled equivalence of extended processes in applied pi-calculus coincide.

We give a counting based proof of the Graham Pollak Theorem

A new $q$-analogue of Appell polynomial sequences and their generalizations are introduced and their main characterizations are proved. As consequences new $q$-analogue of Bernoulli and Euler polynomials and numbers is introduced, their…

Based on the probability distribution observed in complex systems and an assumption that the probability distributions of complex systems satisfy a new generalized multiplication, it is proved that the statistical theory of complex systems…

We find the equivalence groupoid of a~class of $(1+1)$-dimensional second-order evolution equations, which are called generalized potential Burgers equations. This class is related via potentialization with two classes of…

We prove a new q-analogue of Nicomachus's Theorem about the sum of cubes and some related results.