Related papers: Around Quillen's theorem A

This paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson-Tzafriri theorem by establishing both a version of the result valid for bounded representations of a large class of abelian semigroups and…

In this paper, we give a new and short proof of a Theorem on k-hypertournament losing scores due to Zhou et al.[7].

We extend the second Noether theorem to variational problems on time scales. Our result provides as corollaries the classical second Noether theorem, the second Noether theorem for the $h$-calculus and the second Noether theorem for the…

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

In this paper, new inequalities connected with the celebrated Steffensen's integral inequality are proved.

We prove several extensions of the Erdos-Fuchs theorem.

In this short note a new proof of the monotone con- vergence theorem of Lebesgue integral on \sigma-class is given.

We study distribution of zeros of a complex polynomial whose coefficients has been modified. We give a new proof of the theorem of Rubinstein, and with similar method we prove a new theorem that is not generalization of the previous…

We adapt Quillen's calculation of graded K-groups of Z-graded rings with support in N to graded K-theory, allowing gradings in a product Z \times G with G an arbitrary group. This in turn allows us to use inductions and calculate graded…

In this note we show that any proof of Wallis's formula or of the probability integral formula proves both assertions.

This is the second combinatorial proof of the compactness theorem for singular from 1977. In fact it gives a somewhat stronger theorem.

We obtain another proof of Hermite's integral for the Hurwitz zeta function.

We discuss some aspects of the theory of subelliptic estimates.

We show that an elementary proof of Fermat's Last Theorem (FLT) exists. Our paper also extends the scope of FLT from integers to all rational numbers.

We provide new and purely combinatorial proofs of two infinite extensions of the Hales--Jewett theorem. The first one is due to T. Carlson and S. Simpson and the second one is due T. Carlson. Both concern infinite increasing sequences of…

We discuss some variants of cone theorem for movable curves in any codimensions.

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

We present a new proof to a general result due to Kestelman. Our proof differs completely from the other proofs we know and we hope that readers will find it clearer. We also include a quite exhaustive bibliographical analysis on related…

We prove a time scales version of the Noether's theorem relating group of symmetries and conservation laws. Our result extends the continuous version of the Noether's theorem as well as the discrete one and corrects a previous statement of…

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.