25 citations · 92 across the 17 of their papers we have counts for
17 papers
Jacobi Forms of Lattice Index I. Basic Theory
Hatice Boylan, Nils-Peter Skoruppa
This is the first one of a series of articles in which we develop the theory of Jacobi forms of lattice index, their close interplay with the arithmetic theory of lattices and the…
A classical approach to relative quadratic extensions
Hatice Boylan, Nils-Peter Skoruppa
We show that we can develop from scratch and using only classical language a theory of relative quadratic extensions of a given number field which is as explicit and easy as fo…
Theta Blocks
Valery Gritsenko, Nils-Peter Skoruppa, Don Zagier
We define theta blocks as products of Jacobi theta functions divided by powers of the Dedekind eta-function and show that they give a powerful new method to construct Jacobi forms…
Computing Invariants of the Weil representation
Stephan Ehlen, Nils-Peter Skoruppa
We propose an algorithm for computing bases and dimensions of spaces of invariants of Weil representations of associated to finite quadratic modules. We…
Computing Jacobi Forms
Nathan C. Ryan, Nicolás Sirolli, Nils-Peter Skoruppa +1
We describe an implementation for computing holomorphic and skew-holomorphic Jacobi forms of integral weight and scalar index on the full modular group. This implementation is base…
Explicit computations of Siegel modular forms of degree two
Martin Raum, Nathan C. Ryan, Nils-Peter Skoruppa +1
Unlike classical modular forms, there is currently no general way to implement the computation of Siegel modular forms of arbitrary weight, level and character, even in degree two.…