Date: 2012/10/13
Occasion: Midwest Number Theory Conference for Graduate Students and Recent PhDs IX
Place: University of Illinois at Urbana-Champaign
Abstract
Ljunggren's congruence states that \(\binom{ap}{bp}\) is congruent to \(\binom{a}{b}\) modulo \(p^3\). The goal of this talk is to extend this congruence into the q-world. To this end, the q-binomial coefficients are reviewed and characterized in a variety of ways.
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| Link | Size | Description | Hits |
|---|---|---|---|
| 2012qljunggren-illinois.pdf | 1.29 MB | Slides (PDF, 89 pages) | 2519 |