SUMMATION OF THE FOURIER COEFFICIENTS OF THE NON-HOLOMORPHIC EISENSTEIN CUSP SERIES OF THE PSL(2,Z) GROUP

Abstract

The Fourier coefficients of the non-holomorphic Eisenstein cusp forms of the Laplace-Beltrami operator are here summed. The summation is performed after the Dirichlet series related to the divisor function, after the properties of the meromorphic continuability; a new dependence on the Euler’s γ constant is also found.