Sturm bounds for Siegel modular forms
Artikel i vetenskaplig tidskrift, 2015

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 Siegel modular forms and properties of specializations of Jacobi forms to torsion points. In particular, our approach is completely different from the proofs of the previously known cases g=1,2, which do not extend to the case of general g.

Författare

Martin Raum

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Olav Richter

Research in Number Theory

2363-9555 (ISSN)

Vol. 1 artikel nr 5-

Ämneskategorier

Matematik

Geometri

DOI

10.1007/s40993-015-0008-4