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In this paper we use a dynamical approach to prove some new divergence theorems on complete non-compact Riemannian manifolds.

We identify a number of decidable and undecidable fragments of first-order concatenation theory. We also give a purely universal axiomatization which is complete for the fragments we identify. Furthermore, we prove some normal-form results.

In this article, we prove a decomposition theorem on differential polynomials of theta functions of high level.

We survey the classical results of the Dirichlet Approximation Theorem.

In this note we give a detailed proof of a theorem of Aubin.

A method is presented for using the consistent part of inconsistent axiomatic systems.

In this paper, we will give a new proof for a known result of the mean square of Riemann zeta-function.

It is a study note detailing the connection between Boolean inverse monoids and ample groupoids.

In this article we give a result obtained of an experimental way for the Euler totient function.

In this short note we present some new results concerning cotype and absolutely summing multilinear operators.

After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantization approach can be used to solve or at least give a…

We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.

We announce numerous new results in the theory of orthogonal polynomials on the unit circle.

New cases of the multiplicity conjecture are considered.

In this paper we provide an application to the Neumann problem of a recent three critical points theorem.

In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.

We revisit the notion of one-sided recognizability of morphisms and its relation to two-sided recognizability.

The aim of this note is to prove a new discrepancy principle. The advantage of the new discrepancy principle compared with the known one consists of solving a minimization problem approximately, rather than exactly, and in the proof of a…

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

In this note some properties of the sum of element orders of a finite abelian group are studied.