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 π, 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.
%0 Journal Article
%1 krattenthaler05
%A Krattenthaler, C.
%D 2005
%J Linear Algebra and its Applications
%K calculus determinant linear.algebra matrix
%P 68--166
%R 10.1016/j.laa.2005.06.042
%T Advanced Determinant Calculus: a Complement
%V 411
%X 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 π, 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.
@article{krattenthaler05,
abstract = {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 π, 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. },
added-at = {2016-01-18T13:01:27.000+0100},
author = {Krattenthaler, C.},
biburl = {https://www.bibsonomy.org/bibtex/214422984e7b2ff88075c254dbb2eb5eb/ytyoun},
doi = {10.1016/j.laa.2005.06.042},
interhash = {57563abce0fc58cd4330634af5d1c7f8},
intrahash = {14422984e7b2ff88075c254dbb2eb5eb},
issn = {0024-3795},
journal = {Linear Algebra and its Applications },
keywords = {calculus determinant linear.algebra matrix},
note = {Special Issue on Determinants and the Legacy of Sir Thomas Muir },
pages = {68--166},
timestamp = {2016-01-18T13:01:27.000+0100},
title = {Advanced Determinant Calculus: a Complement },
volume = 411,
year = 2005
}