Related papers: On the Erdos-Fuchs theorem

We obtain some results related to Romanoff's theorem.

We generalize a result of Ruzsa on the inverse Erdos-Fuchs theorem for k-fold sumsets.

In this short note we give counterexamples to several results related to extension theorems published recently.

In this paper, we formulate and prove several variants of the Erd\H{o}s-Tur\'{a}n additive bases conjecture.

We prove some extensions of Andrews inequality.

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.

A short proof is given for the well-known Choi-Effros theorem on the structure of ranges of completely positive projections.

We introduce methods that allow to derive continuous-time versions of various discrete-time ergodic theorems. We then illustrate these methods by giving simple proofs and refinements of some known results as well as establishing new results…

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

In this short paper we review and extract some features of the Fredholm Alternative problem .

We prove the Aharoni Berger Conjecture

We give a short proof for the Hartogs's extension theorem on (n-1)-complete complex spaces.

We prove extension-dimensional versions of finite dimensional selection and approximation theorems. As applications, we obtain several results on extension dimension.

We extend the authors' previous work on Wiener-Wintner double recurrence theorem to the case of polynomials.

In this note I provide two extensions of a particular case of the classical Poncelet theorem.

We prove an analog of the classical Hartogs extension theorem for certain (possibly unbounded) domains on coverings of Stein manifolds.

An technically interesting proof of a known theorem.

We give an alternate proof of three versions of the theorem on extrapolation of Carleson measures.

New cases of the multiplicity conjecture are considered.

In this paper, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem.