Eisenstein series of weight-3/2 and singular Hardy-Littlewood series for ternary quadratic forms

By means of analytic continuation Eisenstein series of weight-3/2 are constructed with respect to a main congruence subgroup (N). This makes it possible to define the singular series of an arbitrary integral ternary quadratic form.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 50, pp. 156–168, 1975.