Armin Straub - A q-analog of Ljunggren's binomial congruence

dmtcs:2962 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) - https://doi.org/10.46298/dmtcs.2962
A q-analog of Ljunggren's binomial congruenceConference paper

Authors: Armin Straub ORCID1

We prove a q-analog of a classical binomial congruence due to Ljunggren which states that (apbp)(ab) modulo p3 for primes p5. This congruence subsumes and builds on earlier congruences by Babbage, Wolstenholme and Glaisher for which we recall existing q-analogs. Our congruence generalizes an earlier result of Clark.


Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Section: Proceedings
Published on: January 1, 2011
Imported on: January 31, 2017
Keywords: q-analogs,binomial coefficients,binomial congruence,[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

3 Documents citing this article

Consultation statistics

This page has been seen 430 times.
This article's PDF has been downloaded 676 times.