Resumen de Logarithmic derivative of the Euler R-function in Clifford analysis

L. Randriamihamison, G. Laville

• The logarithmic derivative of the ?-function, namely the ?-function, has numerous applications. We define analogous functions in a four dimensional space. We cut lattices and obtain Clifford-valued functions. These functions are holomorphic cliffordian and have similar properties as the ?-function. These new functions show links between well-known constants: the Eurler gamma constant and some generalisations, ?R(2), ?R(3). We get also the Riemann zeta function and the Epstein zeta functions.