کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415696 1335766 2011 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Coefficients of Drinfeld modular forms and Hecke operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Coefficients of Drinfeld modular forms and Hecke operators
چکیده انگلیسی

Consider the space of Drinfeld modular forms of fixed weight and type for Γ0(n)⊂GL2(Fq[T]). It has a linear form bn, given by the coefficient of tm+n(q−1) 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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 131, Issue 8, August 2011, Pages 1435-1460
نویسندگان
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