Related papers: A simple case within Nash-Moser-Ekeland theory
We give a proof of some small weight and level cases of Serre's conjecture.
Our goal in the present paper is to give a new ergodic proof of a well-known Veech's result, build upon our previous works.
We give a simple proof of a recently result concerning Hardy $q$-inequalities.
In the paper we complete a case by case proof of Reeder's Conjecture started in our previous work, proving the conjecture for simple Lie algebras of type $D$ and for the exceptional cases.
We give a proof of the Marker-Steinhorn Theorem which fills a gap in previous proofs of the result.
We announce here that Fermat's Last theorem was solved, but there is an easy proof of it on the basis of elemetary undergraduate mathematics. We shall disclose such an easy proof.
We give a counting based proof of the Graham Pollak Theorem
We prove Union-Closed sets conjecture.
We give a short proof of Ahlfors' theorem on covering surfaces.
We present a short new proof of Cobham's theorem without using Kronecker's approximation theorem, making it suitable for generalization beyond automatic sequences.
We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.
We give a short proof of the trace formula for Hecke operators on modular forms for the modular group, using the action of Hecke operators on the space of period polynomials.
We present a simple proof of the Riemann's Hypothesis (RH) where only undergraduate mathematics is needed.
Here we simplify the proof of the de Rham theorem for Schwartz functions on affine Nash manifolds and generalize the result to the case of non affine Nash manifolds.
Based on the material in an old article of Wallach a short proof of the Harish-Chandra condition is given.
By an example we show that Olaf Mueller's assertion about his new theorems being able to give anew some classical results previously obtained via applications of Nash--Moser type theorems is unfounded. We also give another example…
An equivalent but useful version on the Homological Nerve Theorem is proved.
We present a simple and purely combinatorial proof of Steel's result according to which the core model is \Sigma^1_3 correct under the appropriate hypotheses.
We establish a simple generalization for the famous theorem of Morley about trisectors in triangle with a purely synthetic proof using only angle chasing and similar triangles. Furthermore, based on the converse construction, another simple…
In this paper we present a surprisingly short proof of Minkowski's second theorem. The author hopes there is no mistake in it, though the argument seems to be too plain to contain one. Also, we apply the main construction of the proof to…