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Talk: q-binomial coefficient congruences

q-binomial coefficient congruences

Date: 2011/08/23
Occasion: CARMA Analysis and Number Theory Seminar
Place: University of Newcastle

Abstract

In the first part of this talk the q-binomial coefficients are introduced in a variety of different ways in order to demonstrate that they are a very natural and beautiful generalization of the usual binomial coefficients. Having thus established that they are interesting objects in their own right, we consider several classical congruences for binomial coefficients with the objective of extending them to the q-world. In this second part of the talk results from the paper A q-analog of Ljunggren's binomial congruence are included.