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Parity Alternating Permutations and Signed Eulerian Numbers

✍ Scribed by Shinji Tanimoto

Publisher: Springer
Year: 2010
Tongue: English
Weight: 230 KB
Volume: 14
Category: Article
ISSN: 0218-0006
DOI: 10.1007/s00026-010-0064-3

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📜 SIMILAR VOLUMES

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An Operator on Permutations and its Application to Eulerian Numbers

✍ Shinji Tanimoto 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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

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Eulerian and Simon Newcomb numbers are two of the most celebrated numbers associated with random permutations. Their distributions have been successfully used in various areas of statistics and applied probability. Conventionally, these distributions have been studied via combinatorial analysis. In