Advanced determinant calculus: A complement

C. Krattenthaler
2005 Linear Algebra and its Applications  
This is a complement to my previous article "Advanced Determinant Calculus" [C. Krattenthaler, Advanced determinant calculus, Séminaire Lotharingien Combin. 42 (1999) ("The Andrews Festschrift"), 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, C. Krattenthaler, J. Petersson, Some new formulas for , Experiment. Math. 12 (2003)
more » ... 56]. 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.
doi:10.1016/j.laa.2005.06.042 fatcat:dzwf5rvsa5fvhmidbbb5nresyi