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Determinants in Plane Partition Enumeration

โœ Scribed by G.E. Andrews; D.W. Stanton


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
155 KB
Volume
19
Category
Article
ISSN
0195-6698

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โœฆ Synopsis


In this paper we provide a new and concise evaluation of

.

This determinant arose in the enumeration of certain set of plane partitions. Its previous evaluation was lengthy and complicated.


๐Ÿ“œ SIMILAR VOLUMES


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โœ Edward A Bender; Donald E Knuth ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 607 KB
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We prove that the number of cyclically symmetric, self-complementary plane partitions contained in a cube of side 2n equals the square of the number of totally symmetric, self-complementary plane partitions contained in the same cube, without explicitly evaluating either of these numbers. This appea