Application of Symbolic Manipulation to Hecke Transformations of Modular Forms in Two Variables

Application of Symbolic Manipulation to the Hecke Transformations of Modular Forms in Two Variables, II

In the first part of this work (to appear in Mathematics of Computation, 1987) it was shown that the nonsymmetric modular forms for Q(f) can be effectively generated by Hecke transformations on the symmetric forms, which are better known and more easily constructed . We show that the nonsymmetric forms need not be known in advance, indeed the polynomial equations defining them in terms of symme...

a synchronic and diachronic approach to the change route of address terms in the two recent centuries of persian language

terms of address as an important linguistics items provide valuable information about the interlocutors, their relationship and their circumstances. this study was done to investigate the change route of persian address terms in the two recent centuries including three historical periods of qajar, pahlavi and after the islamic revolution. data were extracted from a corpus consisting 24 novels w...

Computing systems of Hecke eigenvalues associated to Hilbert modular forms

We utilize effective algorithms for computing in the cohomology of a Shimura curve together with the Jacquet-Langlands correspondence to compute systems of Hecke eigenvalues associated to Hilbert modular forms over a totally real field F . The design of algorithms for the enumeration of automorphic forms has emerged as a major theme in computational arithmetic geometry. Extensive computations h...

Hecke 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...

Lectures on Modular Forms and Hecke Operators