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A new characterization of Carmichael numbers via a generalization of Lehmer's totient problem
new characterization Carmichael numbers generalization of Lehmer's totient problem
2011/1/20
Lehmer’s totient problem consists of determining the set of positive integers n such that '(n)|n − 1 where ' is Euler’s totient function. Any such composite number is a Carmichael number.
On a Generalization of the Notion of Semidirect Product of Groups
Generalization Notion of Semidirect Product of Groups
2011/1/19
We introduce an external version of the internal r-fold semidirect product of groups (SDP) of [CC91]. Just as for the classical external SDP, certain algebraic data are required to guarantee associati...
A Generalization of a Levitin and Parnovski Universal Inequality for Eigenvalues
eigenvalues Hodge de Rham Laplacian Universal inequalities
2011/1/18
In this paper, we derive ”universal” inequalities for the sums of eigenvalues of the Hodge de Rham Laplacian on Euclidean closed Submanifolds and of eigenvalues of the Kohn Laplacian on the Heisenberg...