Advanced Determinant Calculus: A Complement
Krattenthaler, Christian
arXiv, 0503507 / Harvested from arXiv
Text on arXiv
This is a complement to my previous article "Advanced Determinant Calculus" (S\'eminaire 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.
Publié le : 2005-03-24
Classification:  Mathematics - Combinatorics,  Mathematical Physics,  Mathematics - Classical Analysis and ODEs,  Mathematics - Number Theory,  Mathematics - Rings and Algebras,  Primary 05A19,  Secondary 05A10 05A15 05A17 05A18 05A30 05E10 05E15 11B68 11B73 11C20 11Y60 15A15 33C45 33D45 33E05 
@article{0503507,
     author = {Krattenthaler, Christian},
     title = {Advanced Determinant Calculus: A Complement},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503507}
}

Krattenthaler, Christian. Advanced Determinant Calculus: A Complement. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503507/