EULER EXPANSIONS OF THETA TRANSFORMS OF SIEGEL MODULAR FORMS OF HALF-INTEGRAL WEIGHT AND THEIR ANALYTIC PROPERTIES

Abstract

Using the method of A. N. Andrianov, we establish a connection between the Fourier coefficients of Siegel modular forms of half-integral weight and the eigenvalues of operators in the local Hecke rings for the symplectic covering group of degree . These results are used for analytic continuation of the standard zeta-functions associated to .Bibliography: 10 titles.