2005/03/31 by Christian Krattenthaler · 1 citation
Mathematics · Physics and Astronomy · #math.CO #math-ph #math.CA #math.MP #math.NT #math.RA #msc:05A19 #msc:05A10 #msc:05A15 #msc:05A17 #msc:05A18 #msc:05A30 #msc:05E10 #msc:05E15 #msc:11B68 #msc:11B73 #msc:11C20 #msc:11Y60 #msc:15A15 #msc:33C45 #msc:33D45 #msc:33E05
published as Linear Algebra Appl. 411 (2005), 68-166. · AmS-LaTeX, 85 pages; Final, largely revised version
arxiv created 2005/08/10 · arxiv updated 2009/12/01
This is a complement to my previous article "Advanced Determinant Calculus" (Séminaire Lotharingien Combin. 42 (1999), Article B42q, 67 pp.). In the present article, I share with the reader my experience of applying the methods described in the previous article in order to solve a particular problem from number theory (G. Almkvist, J. Petersson and the author, Experiment. Math. 12 (2003), 441-456). Moreover, I add a list of determinant evaluations which I consider as interesting, which have been found since the appearance of the previous article, or which I failed to mention there, including several conjectures and open problems.