کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5772481 1630632 2018 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New congruences for t-core partitions and Andrews' singular overpartitions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
New congruences for t-core partitions and Andrews' singular overpartitions
چکیده انگلیسی
A partition of n is called a t-core partition of n if none of its hook numbers are multiples of t. Let the number of t-core partitions of n be denoted by at(n). Recently, G. E. Andrews defined combinatorial objects which he called (k,i) singular overpartitions, overpartitions of n in which no part is divisible by k and only parts ≡±i(modk) may be overlined. Let the number of (k,i) singular overpartitions of n be denoted by C‾k,i(n). The object of this paper is to obtain new congruences modulo 2 for a15(n) and a23(n). We also obtain congruences modulo 2 for C‾92,23 and C‾60,15.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 182, January 2018, Pages 83-94
نویسندگان
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