کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8905032 1633763 2018 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's ω(q)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's ω(q)
چکیده انگلیسی
We analyze the mock modular behavior of P¯ω(q), a partition function introduced by Andrews, Dixit, Schultz, and Yee. This function arose in a study of smallest parts functions related to classical third order mock theta functions, one of which is ω(q). We find that the modular completion of P¯ω(q) is not simply a harmonic Maass form, but is instead the derivative of a linear combination of products of various harmonic Maass forms and theta functions. We precisely describe its behavior under modular transformations and find that the image under the Maass lowering operator lies in a relatively simpler space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 325, 5 February 2018, Pages 505-532
نویسندگان
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