Generating polynomials for the distribution of generalized binomial coefficients in discrete valuation domains

DOI10.1216/jca.2023.15.65arXiv2006.07423OpenAlexW3035349397MaRDI QIDQ6170622

Ngoc Dong Quan Nguyen

Publication date: 10 August 2023

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07423

zbMATH Keywords

Lucas' theoremdiscrete valuation domaingeneralized binomial coefficientvery well distributed and well-order sequence

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Valuations and their generalizations for commutative rings (13A18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The distribution of the binomial coefficients modulo \(p\)
• The distribution of the Carlitz binomial coefficients modulo a prime
• An analogue of the Staudt-Clausen theorem
• Integer-Valued Polynomials
• An extension of the Lucas theorem

This page was built for publication: Generating polynomials for the distribution of generalized binomial coefficients in discrete valuation domains