A note on P(− λ; G)

A Note on Λ-statistically Cauchy Sequences

In this paper, we introduce the concept of λ-statistically Cauchy sequence of fuzzy numbers and show that it is equivalent to λ-statistically convergent sequence of fuzzy numbers. AMS Subject Classification: 40A05, 40C05, 40D05

On the P Λ Problem

The well-known “H conjecture” (see [HaR]) states that n + 1 is prime infinitely many often. This is equivalent to the existence of infinitely many primes p satisfying {p1/2} < p. The current methods of analytic number theory are far from being sufficient to prove these conjectures. However, Kubilius [Kub] and Ankeny [Ank] proved already about fifty years ago that, assuming the truth of the Riem...

A Note on the Λ-structure on the Burnside Ring

Let G be a finite group and let S be a G-set. The Burnside ring of G has a natural structure of a λ-ring, {λ}n∈N. However, a priori λn(S), where S is a G-set, can only be computed recursively, by first computing λ1(S), . . . , λn−1(S). In this paper we establish an explicit formula, expressing λn(S) as a linear combination of classes of G-sets.

A Note on the Λ-structure on the Burnside Ring

Let G be a finite group and let S be a G-set. The Burnside ring of G has a natural structure of a λ-ring, {λn}n∈N. However, a priori λ (S) can only be computed recursively, by first computing λ(S), . . . , λ(S). In this paper we establish an explicit formula, expressing λ(S) as a linear combination of classes of G-sets.

A Note on Weighted Composition Operators on L^p-Spaces