Related papers: A relative Toponogov comparison theorem

We discuss the characterization of relative equilibria of Lagrangian systems with symmetry.

Recently, M. Tsukamoto (New approach to weighted topological entropy and pressure, Ergod. Theory Dyn. Syst. 43 (2023) 1004-1034) used a new approach to define the weighted topological entropy and pressure. Inspired by his ideas, we…

We prove some theorems which give sufficient conditions for the existence of prime numbers among the terms of a sequence which has pairwise relatively prime terms.

The notion of relative derived category with respect to a subcategory is introduced. A triangle-equivalence, which extends a theorem of Gao and Zhang [Gorenstein derived categories, \emph{J. Algebra} \textbf{323} (2010) 2041-2057] to the…

We give some results on a priori estimates and on estimates of type sup+inf and sup*inf.

We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group.

The paper is mostly a survey on recent results in Diophantine approximation, with emphasis on properties of exponents measuring various notions of Diophantine <approximation.

Kolmogorov's invariant torus theorem is proved using a simple fixed point theorem.

A short proof of a conjecture of Kropholler is given. This gives a relative version of Stallings' Theorem on the structure of groups with more than one end. A generalisation of the Almost Stability Theorem is also obtained, that gives…

In this paper, we reprove a global converse theorem of Cogdell and Piatetski-Shapiro using purely global methods.

We claim to resolve the P=?NP problem via a formal argument for P=NP.

We develop a random model for relation algebras. We prove some preliminary results and pose questions that lay out a new direction of research.

Computations in the cohomology of finite groups.

A proposed solution to the Riemann Hypothesis

This work proposes a view of probability as a relative measure rather than an absolute one. To demonstrate this concept, we focus on finite outcome spaces and develop three fundamental axioms that establish requirements for relative…

We give an elementary proof to Hasse theorem.

We establish a q-analogue of Wolstenholme's harmonic series congruence.

We establish an analogue of the Goldbach conjecture for Laurent polynomials with positive integer coefficients.

In this note for a topological group $G$, we introduce a bounded subset of $G$ and we find some relationships of this definition with other topological properties of $G$.

An approach to constructing an upper bound for the Riemann-Farey sum is described.