Related papers: Around Quillen's theorem A
We prove a variation of Gronwall's lemma.
We investigate a variation of $q$-Wolstenholme's theorem, which extends the $q$-analogue of Wolstenholme's theorem due to Shi and Pan [Amer. Math. Monthly 114 (2007), 529--531]. The proof makes use of the Ramanujan sum and higher order…
An equivalent but useful version on the Homological Nerve Theorem is proved.
We give a new version of the Shannon-McMillan-Breiman theorem in the case of a bijective action. We illustrate this new result with an example
We give a new proof of Tietze Theorem on the convergence of infinite semi-regular continued fractions.
We introduce a new criterion which if satisfied implies the Riemann hypothesis.
We prove a general version of Quillen's Theorem B, for actions of simplicial categories, in an arbitrary left Bousfield localization of the homotopy theory of simplicial presheaves over a site. As special cases, we recover a version of the…
This note presents a new equivalence to the Riemann Hypothesis by means of the Salem integral equation.
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 notice new Hermitian counterpart of Swanson's Hamiltonian.
We show a new large sieve version of the Brun-Titchmarsh theorem.
We give a concise proof of the fundamental theorem of smoothing theory in the special case when a smoothing exists.
A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.
We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group.
We give a new proof of Glauberman's ZJ Theorem, in a form that clarifies the choices involved and offers more choices than classical treatments. In particular, we introduce two new ZJ-type subgroups of a $p$-group $S$, that contain…
We reformulate the statement of the Feit-Thompson theorem in terms of diagrams in the category of finite groups, namely iterations of the Quillen lifting property with respect to particular morphisms.
Arguably the simplest variation of this style of proof as we avoid reducing to the cubic case entirely.
We discuss several existing proofs of the value of a quartic integral and present a new proof that evolved from rational Landen transformations.
We give a new simpler proof of a theorem of Jayne and Rogers.
Using the notion of the truncated variation we obtain a new theorem on the existence and estimation of the Riemann-Stieltjes integral. As a special case of this theorem we obtain an improved version of the Lo\'{e}ve-Young inequality for the…