Related papers: On Romanoff's theorem
We give some comments on W.M. Schmidt's theorem on Diophantine approximations with positive integers and our recent results on the topic.
We review recent developments in the theory of Thompson group representations related to knot theory.
We prove the Aspinwall-Morrison formula by relating their calculation to Gromov-Witten theory.
In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.
We give a rigorous proof for the linear stability of the Skyrmion. In addition, we provide new proofs for the existence of the Skyrmion and the GGMT bound.
The Riemann hypothesis (RH) is well known. In this paper we would show some sufficient conditions for the RH. The first condition is related with the sum of divisors function and another one is related with the Chebyshev's function.
We obtain tight upper and lower bounds to the eigenvalues of an anharmonic oscillator with a rational potential. We compare our bounds with results given by other approaches.
We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.
We explore possibilities and limitations of a purely topological approach to the Dvoretzky Theorem.
We provide a new characterization of the logarithmic Sobolev inequality.
We give a proof of the Marker-Steinhorn Theorem which fills a gap in previous proofs of the result.
The object of this paper is to generalize a theorem on the binomial coefficient [4] to the case in an arithmetic progression. We will also give a slightly stronger result than Langevin's [2].
Under a slightly stronger hypothesis, one improves a connectedness result of Debarre [D] for a product of two projective spaces in terms of the extension problem of formal-rational functions (see Theorems 1.3 and 1.4 of the introduction)
We develop a random model for relation algebras. We prove some preliminary results and pose questions that lay out a new direction of research.
We prove existence of positive solutions to a nonlinear fractional boundary value problem. Then, under some mild assumptions on the nonlinear term, we obtain a smart generalization of Lyapunov's inequality. The new results are illustrated…
We consider the immediate consequence of an arguable addition to the standard Deduction Theorems of first order theories.
A counter example to the main result has been communicated to the author by Matei Toma.
We establish an explicit connection between a Davenport expansion and the Popov sum. Asymptotic analysis follows as a result of these formulas. New solutions to a query of N.J. Fine are offered, and a proof of Davenport expansions is…
Question when rectangle can be tiled with similar copies of rectangles witch quetient of sides quadratic irrationalities. New proof of one part F. Sharov's theorem. Other close result.
We proved three theorems of $S$-version of the mulyiplicity one.