Related papers: An index theorem for gerbes

In this article we show how Gr\"un's results in group theory can be used for studying the structure of class groups in normal extensions.

A result about spanning forests for graphs yields a short proof of Krebes's theorem concerning embedded tangles in links.

In this paper, we establish some theorems on the distribution of primes in higher-order progressions on average.

We prove a theorem about the derivation algebra of the tensor product of two algebras. As an application, we determine the derivation algebra of the fixed point algebra of the tensor product of two algebras, with respect to the tensor…

We formulate and study an extension of gerbe duality to relative Gromov-Witten theory.

The analogue of Goldie's Theorem for prime rings is proved for rings graded by abelian groups, eliminating unnecessary additional hypotheses used in earlier versions.

The article presents the procedure of the index calculation for the elements of the algebra generated by one dimensional singular integral operators with discontinuous oscillating coefficients.

The aim of this paper is to prove a version of Lie's theorem for the supertropical algebra.

A very simple but useful almost sure convergence theorem of probability is given.

We prove a dualization of the Graham--Rothschild Theorem for variable words indexed by homogeneous trees.

We give a simple proof of Dorronsoro's theorem and use similar ideas to establish an equivalence for embeddings of vector fields.

An approximation result for the bilinear Hilbert transform is proved and used for the inversion of the bilinear Hilbert transform. Also, p-Lebesgue points $(p\geq 1)$ are analyzed.

In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.

We prove an infinitary version of the Brauer-Schur theorem.

The aim of this paper is to prove Cotlar's ergodic theorem modeled on the set of primes.

We prove a theorem of uppersemicontinuity for the metric entropy of meromorphic maps.

We give a new proof of Lucas' Theorem in elementary number theory.

The Central Limit Theorem for Iterated Functions Systems on the circle is proved. We study also ergodicity of such systems.

In this paper, we prove a theorem on the distribution of primes in cubic progressions on average.

We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.