کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5772568 1630636 2017 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Using periodicity to obtain partition congruences
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Using periodicity to obtain partition congruences
چکیده انگلیسی
In this paper, we generalize recent work of Mizuhara, Sellers, and Swisher that gives a method for establishing restricted plane partition congruences based on a bounded number of calculations. Using periodicity for partition functions, our extended technique could be a useful tool to prove congruences for certain types of combinatorial functions based on a bounded number of calculations. As applications of our result, we establish new and existing restricted plane partition congruences, restricted plane overpartition congruences and several examples of restricted partition congruences.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 178, September 2017, Pages 158-178
نویسندگان
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