Year: 2025
Type: article
Abstract: 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.
Source: The Ramanujan Journal
Author: Armin Straub
Institution: University of South Alabama
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4417419709