Scholarlink

<p>In their study of a binomial sum related to Wolstenholme’s theorem, Chamberland and Dilcher prove that the corresponding sequence modulo primes <i>p</i> satisfies congruences that are analogous to Lucas’ theorem for the binomial coefficients with the notable twist that there is a restriction on the <i>p</i>-adic digits. We prove a general result that shows that similar partial Lucas congruences are satisfied by all sequences representable as the constant terms of the powers of a multivariate Laurent polynomial.</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

Partial Lucas-type congruences

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年12月17日

查看全文
  • Armin Straub

摘要

In their study of a binomial sum related to Wolstenholme’s theorem, Chamberland and Dilcher prove that the corresponding sequence modulo primes p satisfies congruences that are analogous to Lucas’ theorem for the binomial coefficients with the notable twist that there is a restriction on the p-adic digits. We prove a general result that shows that similar partial Lucas congruences are satisfied by all sequences representable as the constant terms of the powers of a multivariate Laurent polynomial.