Related papers: Around Quillen's theorem A

We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

We give a new proof of Quillen's conjecture for solvable groups via a geometric and explicit method. For p-solvable groups, we provide both a new proof using the Classification of Finite Simple Groups and an asymptotic version without…

An technically interesting proof of a known theorem.

We present some new results on the cohomology of a large scope of SL\_2-groups in degrees above the virtual cohomological dimension; yielding some partial positive results for the Quillen conjecture in rank one. We combine these results…

We study \L o\'s's theorem in a choiceless context. We introduce some variants of \L o\'s's theorem. These variants seem weaker than \L o\'s's theorem, but we prove that these are equivalent to \L o\'s's theorem.

We proved three theorems of $S$-version of the mulyiplicity one.

A proof is given of Rosenthal's \(\ell_1\) theorem.

We prove a new q-analogue of Nicomachus's Theorem about the sum of cubes and some related results.

We give a counterexample to a recently conjectured variant of the Penrose inequality.

We provide a new short proof for the Birman--Solomyak theorem for Hilbert--Schmidt operators and give an application to a Schr\"odinger--Poisson system.

A new simple proof of Stirling's formula via the partial fraction expansion for the tangent function is presented.

This note is an exposition of the proof of Thom's conjecture by Kronheimer and Mrowka, using the new Seiberg-Witten invariants.

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

The paper contains an alternative proof of M. Kontsevich Formality Theorem.

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

New cases of the multiplicity conjecture are considered.

Following suggestions of T. H. Koornwinder, we give a new proof of Kummer's theorem involving Zeilberger's algorithm, the WZ method and asymptotic estimates. In the first section, we recall a classical proof given by L. J. Slater. The…

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 provide a new simple and transparent proof of the version of Kummer's test given in [Tong, J. (1994). Amer. Math. Monthly. 101(5): 450--452]. Our proof is based on an application of a Hardy--Littlewood Tauberian theorem.