Related papers: On two extensions of Poncelet theorem

We survey the classical results of the Dirichlet Approximation Theorem.

We extend the authors' previous work on Wiener-Wintner double recurrence theorem to the case of polynomials.

In this short note we give counterexamples to several results related to extension theorems published recently.

We prove a generalization of classical Montel's theorem for the mixed differences case, for polynomials and exponential polynomial functions, in commutative setting.

We survey the classical results on the prime number theorem

We present two extensions of the one dimensional free Poincar\'e inequality similar in spirit to two classical refinements.

We prove several extensions of the Erdos-Fuchs theorem.

We establish two direct extensions to the Butterfly Theorem on the cyclic quadrilateral along with the proofs using the projective method and analytic geometry of the Cartesian coordinate system.

New cases of the multiplicity conjecture are considered.

As a first application of a very old theorem, known as Herschel's theorem, we provide direct elementary proofs of several explicit expressions for some numbers and polynomials that are known in combinatorics. The second application deals…

Two theorems on the theory of cluster expansions for an abstract polymer system are reported.

We state and prove a new closure theorem closely related to the classical closure theorems of Poncelet and Steiner. Along the way, we establish a number of theorems concerning conic sections.

We prove an extension of the Thue-Vinogradov Lemma and show some applications. This paper is another example for the application of the polynomial method.

We construct a generic extension in which the aleph_2 nd canonical function on aleph_1 exists.

In this article we use the Desargues' theorem and its reciprocal to solve two problems.

This is a survey recent works on topological extensions of the Tutte polynomial.

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

We prove some extensions of Andrews inequality.

The paper contains an interesting generalization of the classical Taylor expansion formula and four applications

If there is one polygon inscribed into some smooth conic and circumscribed about another one, then there are infinitely many such polygons. This is Poncelet's theorem. The aim of this note is to collect some (mostly classical) versions of…