کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4655043 1632928 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Legendre theorems for subclasses of overpartitions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Legendre theorems for subclasses of overpartitions
چکیده انگلیسی

A.M. Legendre noted that Euler's pentagonal number theorem implies that the number of partitions of n into an even number of distinct parts almost always equals the number of partitions of n into an odd number of distinct parts (the exceptions occur when n is a pentagonal number). Subsequently other classes of partitions, including overpartitions, have yielded related Legendre theorems. In this paper, we examine four subclasses of overpartitions that have surprising Legendre theorems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 144, November 2016, Pages 16–36
نویسندگان
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