A note on Pólya’s theorem

1984 ◽  
Vol 35 (1) ◽  
pp. 104-111
Author(s):  
Dinis Pestana
Keyword(s):  
Polya's Theorem ◽  
Pólya’S Theorem

On a generalization of Pólya’s theorem

2007 ◽  
Vol 81 (1-2) ◽  
pp. 247-259 ◽  
Author(s):  
I. P. Rochev
Keyword(s):  
Polya's Theorem ◽  
Pólya’S Theorem

On Pólya's Theorem

1967 ◽  
Vol 19 ◽  
pp. 792-799 ◽  
Author(s):  
J. Sheehan
Keyword(s):  
Finite Groups ◽  
Scalar Product ◽  
Combinatorial Analysis ◽  
Simple Extension ◽  
Group Characters ◽  
Polya's Theorem ◽  
Representations Of Finite Groups ◽  
Pólya’S Theorem ◽  
Special Case ◽  
Superposition Theorem

In 1927 J. H. Redfield (9) stressed the intimate interrelationship between the theory of finite groups and combinatorial analysis. With this in mind we consider Pólya's theorem (7) and the Redfield-Read superposition theorem (8, 9) in the context of the theory of permutation representations of finite groups. We show in particular how the Redfield-Read superposition theorem can be deduced as a special case from a simple extension of Pólya's theorem. We give also a generalization of the superposition theorem expressed as the multiple scalar product of certain group characters. In a later paper we shall give some applications of this generalization.

Pólya’s Theorem on Random Walks via Pólya’s Urn

2010 ◽  
Vol 117 (3) ◽  
pp. 220
Author(s):  
David A. Levin ◽  
Yuval Peres
Keyword(s):  
Random Walks ◽  
Polya's Theorem ◽  
Pólya’S Theorem ◽  
Pólya’S Urn

scholarly journals Counting rotation symmetric functions using Polya’s theorem

2014 ◽  
Vol 169 ◽  
pp. 162-167 ◽  
Author(s):  
Lakshmy K.V. ◽  
M. Sethumadhavan ◽  
Thomas W. Cusick
Keyword(s):  
Symmetric Functions ◽  
Rotation Symmetric ◽  
Polya's Theorem ◽  
Pólya’S Theorem

Pólya's Theorem and Its Progeny

1987 ◽  
Vol 60 (5) ◽  
pp. 275-282 ◽  
Author(s):  
R. C. Read
Keyword(s):  
Polya's Theorem ◽  
Pólya’S Theorem
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