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An axiomatic approach to the number operator and its application to parastatistics

โœ Scribed by Szczyrba, Igor


Book ID
123530665
Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
953 KB
Volume
7
Category
Article
ISSN
0034-4877

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An Operator on Permutations and its Appl
โœ Shinji Tanimoto ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

We introduce an operator on permutations of 1, 2, . . . , n, which preserves the numbers of their ascents and descents. We investigate periods of permutations under the operator and structures of permutations with given periods. As its application we prove some congruence relations modulo a prime fo