Partitions and Sylvester waves
نویسندگان
چکیده
منابع مشابه
Sylvester Waves in the Coxeter Groups ∗
A new recursive procedure of the calculation of partition numbers function W (s, d m) is suggested. We find its zeroes and prove a lemma on the function parity properties. The explicit formulas of W (s, d m) and their periods τ (G) for the irreducible Coxeter groups and a list for the first twelve symmetric group S m are presented. A least common multiple lcm(m) of the series of the natural num...
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A new recursive procedure of the calculation of partition numbers function W (s,dm) is suggested. We find its zeroes and prove a lemma on the function parity properties. The explicit formulas of W (s,dm) and their periods τ(G) for the irreducible Coxeter groups and a list for the first ten symmetric group Sm are presented. A least common multiple L(m) of the series of the natural numbers 1,2,.....
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Article history: Received 28 April 2014 Received in revised form 14 October 2014 Accepted 14 October 2014 Available online 31 October 2014 MSC: 54D20
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2017
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-017-9939-9