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Evaluation of determinant of 11th order in the theory of partitions

Published online by Cambridge University Press:  09 April 2009

S. Manzur Hussain
S. Manzur Hussain
Affiliation:
University of the Panajb, Lahore, (West Pakistan).
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Determinants [1] of 5th and 7th orders have already been discussed in connection with the Theorems 4 and 5 of Atkin and Swinnerton-Dyer [2]. The determinant under consideration occurs in the investigation of Dyson's rank function for q = 11 given by Atkin and Hussain [3]. As regards the notation it may be mentioned that the author has adopted the same as that of Atkin and Hussain [3].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 2 , Issue 2 , October 1961 , pp. 151 - 152
Copyright
Copyright © Australian Mathematical Society 1961

References

[1]Proceedings of the Pakistan Statistical Association 6 (1957) 27–28Google Scholar
[2]Atkin, A.O.L. and Swinnerton-Dyer, P., Some properties of Partition, Proc. London Math. Society (3) 4 (1953) pp. 84–106.Google Scholar
[3]Atkin, A.O.L. and Hussain, S. M., some properties of Partition (2) Transactions of the American Math, Society, 89, (1958) 184–200.Google Scholar