A Combinatorial Proof of a Relationship Between Maximal $(2k-1,2k+1)$-Cores and $(2k-1,2k,2k+1)$-Cores

A Combinatorial Proof of a Relationship Between Maximal $(2k-1, 2k+1)$-Cores and $(2k-1, 2k, 2k+1)$-Cores

Integer partitions which are simultaneously t–cores for distinct values of t have attracted significant interest in recent years. When s and t are relatively prime, Olsson and Stanton have determined the size of the maximal (s, t)-core κs,t. When k > 2, a conjecture of Amdeberhan on the maximal (2k − 1, 2k, 2k + 1)-core κ2k−1,2k,2k+1 has also recently been verified by numerous authors. In this ...

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

PARITY RESULTS FOR BROKEN k–DIAMOND PARTITIONS AND (2k + 1)–CORES

In this paper we prove several new parity results for broken k-diamond partitions introduced in 2007 by Andrews and Paule. In the process, we also prove numerous congruence properties for (2k+1)-core partitions. The proof technique involves a general lemma on congruences which is based on modular forms.

a comparative study of the relationship between self-, peer-, and teacher-assessments in productive skills

تمایل به ارزیابی جایگزین و تعویض آن با آزمون سنتی مداد و کاغذ در سالهای اخیر افزایش یافته است. اکثر زبان آموزان در کلاس های زبان از نمره نهایی که استاد تعیین میکند ناراضی اند. این تحقیق جهت بررسی ارزیابی در کلاس های زبان انگلیسی به هدف رضایتمندی زبان آموزان از نمره هایشان انجام گرفته است که در آن نمرات ارائه شده توسط سه گروه ارزیاب (ارزیابی خود دانشجو، همسالان واستاد) در مهارت های تولید (تکل...

Multiplier with Parallel CSA Using CRT's Specific Moduli (2k-1, 2k , 2k+1)