The Journal of the Indian Mathematical Society

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Equality of Shifted Partition Functions


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1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400 005, India
     

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Recently George Andrews [2] asked for sets of integers S and T, so that P(S, n) = P(T, n —1) for all n ≥ 1, where P(S, n), is the number of partitions into elements of S. We quote some of his results here.

If -S' = { n | n odd or n is ± 4 , ± 6 , ± 8 , ± 10 (mod32)}


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  • Equality of Shifted Partition Functions

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Authors

Anjali Kalvade
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400 005, India

Abstract


Recently George Andrews [2] asked for sets of integers S and T, so that P(S, n) = P(T, n —1) for all n ≥ 1, where P(S, n), is the number of partitions into elements of S. We quote some of his results here.

If -S' = { n | n odd or n is ± 4 , ± 6 , ± 8 , ± 10 (mod32)}