Related papers: On Romanoff's theorem

Approximations to the Kruskal-Katona theorem are stated and proven. These approximations are weaker than the theorem, but much easier to work with numerically.

In this paper we present the statement of the Firoozbakht's conjecture, some of its consequences if it is proved and we show a consequence of Zhang's theorem concerning the Firoozbakht's conjecture.

In this note we obtain a new convergence result for the Adomian decomposition method.

A description of solutions of some integral equations has been obtained. A two-radii theorem is obtained as well.

We settle in the affirmative the Graham-Sloane conjecture.

We give a new simpler proof of a theorem of Jayne and Rogers.

In this note we collect some results on the deformation theory of toric Fano varieties.

This is a survey of Rational Homotopy Theory, intended for a Mathematical Physics readership.

This review article brings forth some recent results in the theory of the Riemann zeta-function $qzeta(s)$.

The original proof of the Sharkovsky theorem is presented in full detail. The proof should be accessible to readers with basic Real Analysis background. Although nowadays there are several alternative proofs of this classical result, we…

Results concerning the Casimir effect in a topologically closed Minkowski spacetime.

We provide a simple proof of Kamp's theorem.

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

We prove a connectedness result for products of weighted projective spaces.

We prove a result that enables us to calculate the rational homotopy of a wide class of spaces by the theory of minimal models.

Some formulas and speculations are presented relative to integrable systems and quantum mechanics.

In this note, we present a simple directed graph proof of Sharkovsky's theorem.

We generalize Pappus chain theorem and give an analogue to this theorem.

We establish an analogue of the Goldbach conjecture for Laurent polynomials with positive integer coefficients.

In the present paper we introduce old and new results related to St\"ormer theorem about Pell equations. Moreover we give four types of applications of these results.