This research monograph reports on recent work on the theoryof singular Siegel modular forms of arbitrary level.Singular modular forms are represented as linearcombinations of theta series. The reader is assumed toknowonly the basic theory of Siegel modular forms.
Singular Modular Forms and Theta Relations
Siegel modular forms.- Theta series with polynomial coefficients.- Singular weights.- Singular modular forms and theta series.- The fundamental lemma.- The results.