Scholarlink

<p>Applying Andrews’ multi-series transformation, we prove the divisibility of certain sums of multiple products involving <i>q</i>-Narayana numbers, partially confirming a conjecture proposed by Guo and the second author. Moreover, we establish a new identity between <i>q</i>-Narayana numbers and <i>q</i>-Catalan numbers, thereby verifying a special case of another previous result of Guo and the second author.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Divisibility of sums of products related to the q-Narayana numbers

  • 期刊论文

  • 发表日期：

    2026年5月8日

查看全文
  • Song-Xiao Li,
  • Su-Dan Wang

摘要

Applying Andrews’ multi-series transformation, we prove the divisibility of certain sums of multiple products involving q-Narayana numbers, partially confirming a conjecture proposed by Guo and the second author. Moreover, we establish a new identity between q-Narayana numbers and q-Catalan numbers, thereby verifying a special case of another previous result of Guo and the second author.