Abhas Kuma Jha
Affiliation: NISER, Bhubaneswar, India
Title Of Talk: Rankin-Cohen brackets on Siegel modular forms and special values of certain Dirichlet series
Abstract: Given a fixed Siegel cusp form of genus two, we consider a family of linear maps between the spaces of Siegel cusp forms of genus two by using the Rankin-Cohen brackets and then we compute the adjoint maps of these linear maps with respect to the Petersson scalar product. The Fourier coefficients of the Siegel cusp forms of genus two constructed using this method involve special values of certain Dirichlet series of Rankin type associated to Siegel cusp forms. This is a joint work with B. Sahu.
Last update made Thu Feb 18 08:23:23 PST 2016.