Related papers: A generalization of Pappus chain theorem

We give a q-analogue of Gauss' divisibility theorem

We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.

In this paper, we propose a generalization of a congruence due to Carlitz.

We motivate and then prove a generalized pythagorean theorem for parallelepipeds in Euclidean space.

In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.

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

In this paper we study the inversion in an ellipse and some properties, which generalizes the classical inversion with respect to a circle. We also study the inversion in an ellipse of lines, ellipses and other curves. Finally, we…

A generalization of the law of total covariance is presented and proved.

We prove an infinitary version of the Brauer-Schur theorem.

We provide a simple proof of Kamp's theorem.

Every definably complete expansion of an ordered field satisfies an analogue of the Baire Category Theorem.

We generalize Romanoff's theorem. Also, we obtain a result on sums related to Euler's totient function.

We generalize the concept of disjunction.

This paper proposes a generalized ABC conjecture and assuming its validity settles a generalized version of Fermats last theorem.

We obtain some results related to Romanoff's theorem.

We prove a generalized Gauss-Kuzmin-L\'evy theorem for the $p$-numerated generalized Gauss transformation $$T_p(x)=\{\frac{p}{x}\}.$$ In addition, we give an estimate for the constant that appears in the theorem.

We provide a short proof of the 1-dimensional flat chain conjecture.

We prove an analogue of the Centralizer Theorem in the context of Artin-Tits groups.

We prove an analogue of the prime number theorem for finite fields.

In this paper, by using analytical methods we obtain a generalization of the famous Kodaira embedding theorem.