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Linear
Algebra Appl. 411 (2005), 68-166,
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Christian Krattenthaler
Advanced Determinant Calculus: A Complement
(85 pages)
Abstract.
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,
"Some new formulas for pi,"
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.
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