منابع مشابه
Siegel Modular Forms
These are the lecture notes of the lectures on Siegel modular forms at the Nordfjordeid Summer School on Modular Forms and their Applications. We give a survey of Siegel modular forms and explain the joint work with Carel Faber on vector-valued Siegel modular forms of genus 2 and present evidence for a conjecture of Harder on congruences between Siegel modular forms of genus 1 and 2.
متن کاملA short course on Siegel modular forms
The goal of these lectures is twofold: first I would like to introduce the basic concepts of the theory, like the Siegel modular group and its action on the Siegel upper half-space, reduction theory, examples of Siegel modular forms, Hecke operators and L-functions. Secondly, following up, I would like to discuss two rather recent research topics, namely the ”Ikeda lifting” and sign changes of ...
متن کاملHecke Operators on Hilbert–siegel Modular Forms
We define Hilbert–Siegel modular forms and Hecke “operators” acting on them. As with Hilbert modular forms (i.e. with Siegel degree 1), these linear transformations are not linear operators until we consider a direct product of spaces of modular forms (with varying groups), modulo natural identifications we can make between certain spaces. With Hilbert–Siegel forms (i.e. with arbitrary Siegel d...
متن کاملOperators on Hilbert - Siegel Modular Forms
We define Hilbert-Siegel modular forms and Hecke “operators” acting on them. As with Hilbert modular forms (i.e. with Siegel degree 1), these linear transformations are not linear operators until we consider a direct product of spaces of modular forms (with varying groups), modulo natural identifications we can make between certain spaces. With Hilbert-Siegel forms (i.e. with arbitrary Siegel d...
متن کاملCodes and Siegel modular forms
It is proved that the ring of Siegel modular forms in any genus is determined by doubly-even self-dual codes and the theta relations. The (higher) weight polynomials of such codes are proved to be the generators of the ring of invariants of a polynomial ring in 2 g variables under a certain speciied nite group. Moreover codes are uniquely determined by their weight polynomials.
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1995
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000005237