Related papers: On Romanoff's theorem

We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.

A very simple but useful almost sure convergence theorem of probability is given.

We give a gentle introduction to Frobenius splittings. Then we recall a few results that have been obtained with the method.

We present some recent results on the existence of solutions of the Schr\"odinger flows, and pose some problems for further research.

We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.

Relative orbifold Gromov-Witten theory is set-up and the degeneration formula is given.

In this work we present a simplifyed proof of Kantorovich's Theorem on Newton's Method. This analysis uses a technique which has already been used for obtaining new extensions of this theorem.

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 give an elementary proof of Kelley's theorem based on a minimax argument. Some applications to related problems are also developed.

We study an inequality suggested by Littlewood, our result refines a result of Bennett.

We provide some new results of the ground state of quantum layers.

We present Korovkin approximation theorems that incorporate summability methods. These result allows us to obtain a unified treatment of several previous results, focusing on the underlying structure and the properties that a summability…

We give some results and conjectures about recurrence relations for certain sequences of binomial sums.

Based on various strategies, we obtain several simple proofs of the celebrated Sharkovsky cycle coexistence theorem.

We prove several congruences for trinomial coefficients.

We give a new proof of Chen-Lin result with Li-Zhang method.

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

New estimates on the maximal function associated to the linear Schrodinger equation are established

In this note, we present a simple non-directed graph proof of Sharkovsky's theorem which is different from the one given in [2].

In this paper, we introduce and develop the concept of \emph{ramification} in a given modulus. We study some properties in relation to this concept and it's connection to some important problems in mathematics, particularly the Goldbach…