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Ramanujan Congruences For p-k(n) Modulo Powers Of 17

Published online by Cambridge University Press:  20 November 2018

Kim Hughes
Kim Hughes*
Affiliation:
Department of Mathematics California State University San Bernardino, California
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For each integer r we define the sequence pr(n) by We note that p-1(n) = p(n), the ordinary partition function. On account of this some authors set r = — k to make positive values of k correspond to positive powers of the generating function for p(n): We follow this convention here. In [3], Atkin proved the following theorem.

Keywords

11F3311P7611F2011F3011F0805A17
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 3 , 01 June 1991 , pp. 506 - 525
Copyright
Copyright © Canadian Mathematical Society 1991

References

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