Resumen de The Rankin�Selberg convolution for real analytic Cohen's Eisenstein series of half-integral weight

Yoshinori Mizuno

• We give a meromorphic continuation and a functional equation for the Rankin�Selberg convolution of certain real analytic Eisenstein series of half-integral weight. Our result and method have several applications to the Koecher�Maass series associated with the real analytic Siegel�Eisenstein series.