Related papers: On the Clemens-Schmid exact sequence

We prove the splitting of the Kummer exact sequence and related exact sequences in arithmetic geometry.

We study convergence almost everywhere of sequences of Schr\"odinger means. We also replace sequences by uncountable sets.

In this note, we demonstrate the convergence of the Demailly approximation of a general (weakly) upper semi-continuous weight.

Herein, the theory of Bergman kernel is developed to the weighted case. A general form of weighted Bergman reproducing kernel is obtained, by which we can calculate concrete Bergman kernel functions for specific weights and domains.

We study the statistical convergence of metric valued sequences and of their subsequences. The interplay between the statistical and usual convergences in metric spaces is also studied.

We improve a result of Bennett concerning certain sequences involving sums of powers of positive integers.

We study certain polyadicly continuous sequences from point of view the probability theory.

In this work we show how to get advantage from the Riemann--Hilbert analysis in order to obtain first and second order differential equations for the orthogonal polynomials and associated functions with a weight on the unit circle. We…

We characterize the inclusions of weighted classes of entire functions in terms of the defining weights resp. weight systems. First we treat weights defined in terms of a so-called associated weight function where the weight(system) is…

Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.

Necessary and sufficient conditions for the exactness (in the algebraic sense) of certain sequences of continuous group homomorphisms are established.

In this paper some new ways of generalizing perfect numbers are investigated, numerical results are presented and some conjectures are established.

For a semistable family of varieties over a curve in characteristic $p$, we prove the existence of a "Clemens-Schmid type" long exact sequence for the $p$-adic cohomology. The cohomology groups appearing in such a long exact sequence are…

In this note we prove a weighted version of the Khintchine inequalities.

The paper deals with continuous solutions of a Schilling's problem.

We study a weighted version of Carleman's inequality via Carleman's original approach. As an application of our result, we prove a conjecture of Bennett.

We survey the classical results of the Dirichlet Approximation Theorem.

We prove several Stern's type congruences for generalized bernoulli numbers.

Computations in the cohomology of finite groups.

This paper is devoted to the study of the Fu/v cik spectrum with indefinite weights in the one-dimensional case.