Related papers: On the Erdos-Fuchs theorem

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

A proof is given of Rosenthal's \(\ell_1\) theorem.

In the present paper, we introduce a multibasic extension of the Ehrhart theory. We give a multibasic extension of Ehrhart polynomials and Ehrhart series. We also show that an analogue of Ehrhart reciprocity holds for multibasic Ehrhart…

A very short and direct proof along the lines of the Kamae-Katznelson-Weiss approach.

We prove several incidence theorems in vector spaces over finite fields using bounds for various classes of exponential sums and apply these to Erdos-Falconer type distance problems.

Particular solutions of the Benney equations are constructed. Their properties are discussed.

We give a short proof of Ahlfors' theorem on covering surfaces.

This is an expository note discussing how the Erdos--Ramanujan proof of Bertrand's postulate may be adapted to show the existence of finite fields.

We obtain some new inequalities of Chebyshev Type.

In this paper we show an index theorem for gerbes

Invited contribution to Annalen der Physik (Expert Opinion).

The aim of the present paper is to give extensions of the cosine-sine functional equation.

In this note we extend a theorem from [13] about uniform circle random coverings

A vector variational principle is proved.

We establish some new generalizations of Erd\H{o}s-Mordell inequality by adding weights to its terms. Using these generalizations, we derived strengthened versions of the original Erd\H{o}s-Mordell inequality. We also found two other…

We formulate and study an extension of gerbe duality to relative Gromov-Witten theory.

We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.

In this paper the Erdos-Rado theorem is generalized to the class of well founded trees.

We survey recent developments on the Restriction conjecture.

Theory of $n$-complements with applications is presented.