10 citations · 16 across the 4 of their papers we have counts for
4 papers
Indefinite Theta Series on Cones
Martin Westerholt-Raum
We show that indefinite theta series on cones converge and provide an explicit modular completion. Our completion rests on a convolution of the Gaussian with a piecewise constant f…
Sturm Bounds for Siegel Modular Forms
Olav K. Richter, Martin Westerholt-Raum
We establish Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. Our inductive proof exploits Fourier-Jacobi expansions of S…
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.…
Efficiently generated spaces of classical Siegel modular forms and the Boecherer conjecture
Martin Raum
We state and verify up to weight 172 a conjecture on the existence of a certain generating set for spaces of classical Siegel modular forms. This conjecture is particularly useful…