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<p>Recently, Mao established two truncated sums of theta series and presented their partition-theoretic interpretations. In this paper, we provide new partition-theoretic interpretations for the two truncated sums of theta series given by Mao based on the minimal excludant in congruence classes.</p>

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New combinatorial interpretations of two truncated sums of theta series

  • 期刊论文

  • 发表日期：

    2025年7月21日

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  • Jing Jin,
  • Eric H. Liu,
  • Ernest X. W. Xia

摘要

Recently, Mao established two truncated sums of theta series and presented their partition-theoretic interpretations. In this paper, we provide new partition-theoretic interpretations for the two truncated sums of theta series given by Mao based on the minimal excludant in congruence classes.