6 citations · 6 across the 7 of their papers we have counts for
7 papers
Integral formulas for a Dirichlet series
Guy Laville
We present an integral representation formula for a Dirichlet series whose coefficients are the values of the Liouville's arithmetic function.
Analytic cliffordian functions
Guy Laville, Eric Lehman
In classical function theory, a function is holomorphic if and only if it is complex analytic. For higher dimensional spaces it is natural to work in the context of Clifford algebr…
Holomorphic Cliffordian Product
Guy Laville
Let R\_{0,n} be the Clifford algebra of the antieuclidean vector space of dimension n. The aim is to built a function theory analogous to the one in the C case. In the latter case,…
Jacobi Elliptic Cliffordian Functions
Guy Laville, Ivan Ramadanoff
The well-known Jacobi elliptic functions sn(z)cn(z), dn(z) are defined in higher dimensional spaces by the following method. Consider the Clifford algebra of the antieuclidean…
Elliptic Cliffordian Functions
Guy Laville, Ivan Ramadanoff
In the study of holomorphic functions of one complex variable, one well-known theory is that of elliptic functions and it is possible to take the zeta-function of Weierstrass as a…
Holomorphic Cliffordian Functions
Guy Laville, Ivan Ramadanoff
The aim of this paper is to put the fundations of a new theory of functions, called holomorphic Cliffordian, which should play an essential role in the generalization of holomorphi…