Related papers: A note on the convergence of the Adomian decomposi…

In this paper, a new general decomposition theory inspired from modular graph decomposition is presented. Our main result shows that, within this general theory, most of the nice algorithmic tools developed for modular decomposition are…

We prove descent theorems for semiorthogonal decompositions using techniques from derived algebraic geometry. Our methods allow us to capture more general filtrations of derived categories and even marked filtrations, where one descends not…

In this note we show that McGee's {\omega}-inconsistency result can be derived from L\"ob's theorem.

By a new orthogonal direct sum decomposition $E_{M} = Y \oplus Z$, which $Z$ is related to $\Delta u_i(i=1,2,3,....,M)$, and a new functional $I(u)$, the method in [2] is improved to obtain new multiple periodic solutions with negativity…

We give a presentation of abelian class field theory.

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

We give a new proof of Tietze Theorem on the convergence of infinite semi-regular continued fractions.

The main goal of this note is to provide a new proof of a classical result about projectivities between finite abelian groups. It is based on the concept of fundamental group lattice, studied in our previous papers \cite{8} and \cite{9}. A…

In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.

In this note we provide a new proof of the Tikhonov theorem for the infinite time interval and discuss some of its applications.

This note gives a simple approach to q-analogues of some results associated with Abel polynomials.

In the paper, we generalize some congruences of Lehmer for general composite numbers.

We obtain simple proofs of certain inequalites for bivariate means.

In this note we extend the Dirac method to partial differential equations involving higher order roots of differential operators.

In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.

We introduce a new cohomology theory related to deformations of Lie algebra morphisms. This notion involves simultaneous deformations of two Lie algebras and a homomorphism between them.

We improve constants in the Rademacher-Menchov inequality.

The aim of this work is to show how we can decompose a module (if decomposable) into an indecomposable module with the help of the minimization process.

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

The aim of this note is to discuss resolution theorems that are useful in the study of semi log canonical varieties.