کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5772674 1630638 2017 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variation on a theme of Nathan Fine. New weighted partition identities
ترجمه فارسی عنوان
تغییر در موضوع ناتان فین. هویت پارتیشن بندی وزن جدید
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
We utilize false theta function results of Nathan Fine to discover four new partition identities involving weights. These relations connect Göllnitz-Gordon type partitions and partitions with distinct odd parts, partitions into distinct parts and ordinary partitions, and partitions with distinct odd parts where the smallest positive integer that is not a part of the partition is odd and ordinary partitions subject to some initial conditions, respectively. Some of our weights involve new partition statistics, one is defined as the number of different odd parts of a partition larger than or equal to a given value and another one is defined as the number of different even parts larger than the first integer that is not a part of the partition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 176, July 2017, Pages 226-248
نویسندگان
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