CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

Sturm bounds for Siegel modular forms

Martin Westerholt-Raum (Institutionen för matematiska vetenskaper, matematik) ; Olav Richter
Research in Number Theory (2363-9555). Vol. 1 (2015), 1, p. artikel nr 5.
[Artikel, refereegranskad vetenskaplig]

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.



Denna post skapades 2016-01-05. Senast ändrad 2016-03-22.
CPL Pubid: 229835

 

Läs direkt!


Länk till annan sajt (kan kräva inloggning)


Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Geometri
Algebra och geometri

Chalmers infrastruktur