Formulas for partition k-tuples with t-cores

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Chern, Shane¹ 

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

关键词: Partition;    k-Tuple;    t-Core;    Modular form;   

DOI  :  10.1016/j.jmaa.2016.01.040

来源: Elsevier

【 摘 要 】

Let A(t,k) (n) denote the number of partition k-tuples of n where each partition is t-core. In this paper, we establish formulas of A(t,k) (n) for some values of t and k by employing the method of modular forms, which extends Wang's result for t = 3 and k = 2,3. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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