کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415300 1630643 2017 40 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Series expansion of the period function and representations of Hecke operators
ترجمه فارسی عنوان
توسعه سری از عملکرد دوره و نمایندگی از اپراتورهای هک
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

The period polynomial of a cusp form of an integral weight plays an important role in the number theory. In this paper, we study the period function of a cusp form of real weight. We obtain a series expansion of the period function of a cusp form of real weight for SL(2,Z) by using the binomial expansion. Furthermore, we study two kinds of Hecke operators acting on cusp forms and period functions, respectively. With these Hecke operators we show that there is a Hecke-equivariant isomorphism between the space of cusp forms and the space of period functions. As an application, we obtain a formula for a certain L-value of a Hecke eigenform by using the series expansion of its period function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 171, February 2017, Pages 301-340
نویسندگان
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