Related papers: On Romanoff's theorem

Several results about the union-closed sets conjecture are presented.

We give a counterexample to a recently conjectured variant of the Penrose inequality.

Banach's fixed point theorem in linear n-normed space is being developed. Also, we present several theorems on fixed points in linear n-normed space.

Here we give a short survey of our new results. References to the complete proofs can be found in the text of this article and in the litterature.

We claim to resolve the P=?NP problem via a formal argument for P=NP.

In the paper, we first prove a sufficient condition for the Riemann hypothesis which involves the order of magnitude of the partial sum of the Liouville function. Then we show a formula which is curiously related to the proved sufficient…

Some Titchmarsh results following Gram's law are improved in this paper.

In this paper we show an index theorem for gerbes

In this paper, we give a refinement of a theorem by Franks, which answers two questions raised by Kang.

We prove some extensions of Andrews inequality.

We study first-order concatenation theory with bounded quantifiers. We give axiomatizations with interesting properties, and we prove some normal-form results. Finally, we prove a number of decidability and undecidability results.

We find a generalization of the Mordell integral and we also establish a set of properties for a generalization of the Mordell integral similar to those in the third author's PhD thesis.

We intoduce a local version of the Jordan-Brouwer separation theorem and deduce some global statements, some of which may follow from known results, but the technique is new.

We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function. Several closely related results are also given.

In this paper, we establish some fixed point theorems in ordered partial metric spaces. An example is given to illustrate our obtained results.

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

We give some results on a priori estimates and on estimates of type sup+inf and sup*inf.

We find an elementary proof for Voiculescu's theorem on the polar decomposition of circular variables.

In this paper we give a new proof of Riemann's well known mapping theorem. The suggested method permits to prove an analog of that theorem for the three dimensional case.

We prove a local version of the Mazur-Ulam theorem.