کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6415696 | 1335766 | 2011 | 26 صفحه PDF | دانلود رایگان |

Consider the space of Drinfeld modular forms of fixed weight and type for Î0(n)âGL2(Fq[T]). It has a linear form bn, given by the coefficient of tm+n(qâ1) in the power series expansion of a type m modular form at the cusp infinity, with respect to the uniformizer t. It also has an action of a Hecke algebra. Our aim is to study the Hecke module spanned by b1. We give elements in the Hecke annihilator of b1. Some of them are expected to be nontrivial and such a phenomenon does not occur for classical modular forms. Moreover, we show that the Hecke module considered is spanned by coefficients bn, where n runs through an infinite set of integers. As a consequence, for any Drinfeld Hecke eigenform, we can compute explicitly certain coefficients in terms of the eigenvalues. We give an application to coefficients of the Drinfeld Hecke eigenform h.
Journal: Journal of Number Theory - Volume 131, Issue 8, August 2011, Pages 1435-1460