Multilinear operators on Siegel modular forms of genus 1 and 2 (Q1284507)

Although the derivative of a modular form is not a modular form in general, certain combinations of derivatives of modular forms produce modular forms. Examples of such combinations include Rankin-Cohen brackets, which are bilinear operators on the graded ring of modular forms. In this paper the author constructs multilinear differential operators on Siegel modular forms of genus 1 and 2, which generalize Rankin-Cohen brackets in the genus 1 case.