1,126 research outputs found
Approximately Vanishing of Topological Cohomology Groups
In this paper, we establish the Pexiderized stability of coboundaries and
cocycles and use them to investigate the Hyers--Ulam stability of some
functional equations. We prove that for each Banach algebra , Banach
-bimodule and positive integer if and only if the -th
cohomology group approximately vanishes.Comment: 18 pages, minor correction
From a cotangent sum to a generalized totient function
In this paper we investigate a certain category of cotangent sums and more
specifically the sum
and associate the distribution of its values to a
generalized totient function , where
One of the
methods used consists in the exploitation of relations between trigonometric
sums and the fractional part of a real number
- β¦