کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614710 1339297 2015 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Linear relations among half-integral weight Poincaré series
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Linear relations among half-integral weight Poincaré series
چکیده انگلیسی

We construct an infinite family of half-integral weight Poincaré series coming from vector valued harmonic weak Maass forms, and investigate linear relations among the Poincaré series by applying a pairing between weakly holomorphic modular forms and harmonic weak Maass forms together with properties of Maass Poincaré series. We also show that the Poincaré series are characterized by the Fourier coefficients of half-integral weight cusp forms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 432, Issue 2, 15 December 2015, Pages 1077–1094
نویسندگان
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