Related papers: Note on the Chen-Lin result with Li-Zhang method
We apply a paraconsistent logic to reason about fractions.
In this note we provide a new proof of the Tikhonov theorem for the infinite time interval and discuss some of its applications.
We present a new, elementary, dynamical proof of the prime number theorem.
We prove some uniqueness results which improve and generalize results of Jiang-Tao Li and Ping Li[Uniqueness of entire functions concerning differential polynomials. Commun. Korean Math. Soc. 30 (2015), No. 2, pp. 93-101].
Number of results in number theory have been developed using a new method. The Goldbach binary conjecture in strengthened formulation have been among them.
In this paper we prove the WALA conjecture.
We provide an alternative proof that the finite rational linear combination of radicals, under certain constraint, are linearly independent over $\mathbb{Q}$.
We prove an estimate for the large sieve with square moduli which improves a recent result of L. Zhao. Our method uses an idea of D. Wolke and some results from Fourier analysis.
In this article we give a result obtained of an experimental way for the Euler totient function.
We prove an extension of the Thue-Vinogradov Lemma and show some applications. This paper is another example for the application of the polynomial method.
Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.
We give a proof of a Martingale Representation Theorem using the methods of nonstandard analysis.
We prove an abstract Nyquist criterion in a general set up. As applications, we recover various versions of the Nyquist criterion, some of which are new.
Using the WZ-method we find some of the easiest Ramanujan's formulae and also some new interesting Ramanujan-like sums.
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 show how to prove the examples of a paper by Chu and Zhang using the WZ-algorithm.
We give another proof of Imin Chen's result that the jacobian of the modular curve X(p)_{non-split}, for p a prime number, is isogeneous to the new part of the jacobian of X_0(p^2), using only the representation theory of the group…
We give a counterexample to a recently conjectured variant of the Penrose inequality.
In this paper, we proved the normal scalar curvature conjecture and the Bottcher-Wenzel conjecture.
We give a short proof of a theorem of J.-E. Pin (theorem 1.1 below), which can be found in his thesis. The part of the proof which is my own (not Pin's) is a complete replacement of the same part in an earlier version of this paper.