Related papers: Hasse theorem -- an elementary approach
We give a categorical account of Arrow's theorem, a seminal result in social choice theory.
We give a revised version of Schmidt's treatment of forms in many variables, which allows us to prove a Hasse principle under more lenient conditions on the number of variables than what had previously been thought possible with these…
We prove that, for every $n \geq 5$, the Hasse norm principle holds for a degree $n$ extension $K/k$ of number fields with normal closure $F$ such that $\operatorname{Gal}(F/k) \cong A_n$. We also show the validity of weak approximation for…
An introduction and survey of homotopy type theory in honor of W.W. Tait.
We obtain simple proofs of certain inequalites for bivariate means.
We prove a generalization of one of Lie's Theorems in the context of Lie-like algebras$^{2-nd}$.
We give a short proof of Ahlfors' theorem on covering surfaces.
We prove some Hardy-type inequalities via an approach that involves constructing auxiliary sequences.
In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.
A proposed solution to the Riemann Hypothesis
We suggest an alternative proof of a theorem due to Lambek and Moser using a perceptible model.
In this article we show how the Dedekind-Hasse criterion may be applied to prove a simple result about quadratic number fields that usually is derived as a consequence of the theory of ideals and ideal classes.
Bayesian hypothesis testing is re-examined from the perspective of an a priori assessment of the test statistic distribution under the alternative. By assessing the distribution of an observable test statistic, rather than prior parameter…
Here we give a short survey of our new results. References to the complete proofs can be found in the text of this article and in the litterature.
We obtain some results related to Romanoff's theorem.
A simple algorithm for the inverse scattering approach to the Camassa-Holm equation is presented.
We introduce extremely symmetric primes and provide some elementary properties of these.
We introduce a notion of a weak elementary fibration and prove that it does exist in certain interesting cases. Our notion is a modification of the M. Artin's notion of an elementary fibration.
We give an infinite number of proofs of Pythagoras theorem.Some can be classified as `self-similar proofs'.
The purpose of this note is to rephrase Speyer's elegant topological proof for Kasteleyn's Theorem in a simple graph theoretical manner.