Branchings and partitions-Reference-Cited by-同舟云学术

Branchings and partitions

Published:1975 Issue:1 Volume:53 Page:246-249
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Carlitz L.,Stanley Richard P.

Abstract

A generating function is obtained for the number of partitions corresponding to a complete branching on a nonincreasing sequence of n n integers. Complete branchings are shown to be related to certain types of plane partitions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-053-01/S0002-9939-1975-0382025-3/S0002-9939-1975-0382025-3.pdf

Reference7 articles.

1. Some determinants of 𝑞-binomial coefficients;Carlitz, L.;J. Reine Angew. Math.,1967

2. G. Frobenius, Über die charaktere der symmetrischen Gruppe, S.-B. Königl. Preuss. Akad. Wiss. Berlin, 1900, 516-534.

3. Problems and Solutions: Solutions of Advanced Problems: 5854;Gelbart, Stephen;Amer. Math. Monthly,1973

4. G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford Univ. Press, London, 1960.

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