Congruences for 9-regular partitions modulo 3

Congruences for 9-regular partitions modulo 3
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9-正则分区模 3 的同余

DOI:
10.1007/s11139-014-9586-3
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发表时间:
2015
期刊:
影响因子:
0.7
通讯作者:
Gu Nancy S. S.
Gu Nancy S. S.
中科院分区:
数学3区
文献类型:
--
作者:
Cui Su-Ping;Gu Nancy S. S.

文献摘要

被引文献

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本文从五阶模方程出发,给出了基思猜想的一个简单证明:9-正则配分函数模3同余的无穷族.同时,我们得到了9-正则配分函数的模3同余。
In view of the modular equation of fifth order, we give a simple proof of Keith’s conjecture which is some infinite families of congruences modulo 3 for the 9-regular partition function. Meanwhile, we derive some new congruences modulo 3 for the 9-regular partition function.