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The proof of a conjecture of Simion for certain partitions

โœ Scribed by Martin Hildebrand


Book ID
108315509
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
134 KB
Volume
224
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


A Simple Proof of a Conjecture of Simion
โœ Yi Wang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 73 KB

Simion had a unimodality conjecture concerning the number of lattice paths in a rectangular grid with the Ferrers diagram of a partition removed. Hildebrand recently showed the stronger result that these numbers are log concave. Here we present a simple proof of Hildebrand's result.