科技展望2017,Vol.27Issue(28) :272-273,328.

NON-EXISTENCE OF CONGRUENCES FOR CERTAINl-REGULAR PARTITIONS MODULO3

NON-EXISTENCE OF CONGRUENCES FOR CERTAINl-REGULAR PARTITIONS MODULO3

王可君
科技展望2017,Vol.27Issue(28) :272-273,328.

NON-EXISTENCE OF CONGRUENCES FOR CERTAINl-REGULAR PARTITIONS MODULO3

NON-EXISTENCE OF CONGRUENCES FOR CERTAINl-REGULAR PARTITIONS MODULO3

王可君1
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作者信息

  • 1. 河南工程学院,河南 郑州 450001
  • 折叠

Abstract

Recently,Radu showed that the partition function possesses no linear congruences modulo 2 or 3.Extending Radu's work,Ahlgren and Kim obtained analogous results for a wide class of weakly holomorphic modular forms.Motivated by these works, we prove that there is no linear congruences for certain l-regular partitions modulo 3.

Key words

congruence/l-regular partitions/modular forms

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出版年

2017
科技展望
宁夏科技信息研究所

科技展望

ISSN:1672-8289
参考文献量10
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