کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4594790 1335782 2009 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rank and crank moments for overpartitions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Rank and crank moments for overpartitions
چکیده انگلیسی

We study two types of crank moments and two types of rank moments for overpartitions. We show that the crank moments and their derivatives, along with certain linear combinations of the rank moments and their derivatives, can be written in terms of quasimodular forms. We then use this fact to prove exact relations involving the moments as well as congruence properties modulo 3, 5, and 7 for some combinatorial functions which may be expressed in terms of the second moments. Finally, we establish a congruence modulo 3 involving one such combinatorial function and the Hurwitz class number H(n).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 129, Issue 7, July 2009, Pages 1758-1772