The Journal of the Indian Mathematical Society

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Highly Composite Numbers of the tth Order


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1 Calcutta University, India
     

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Let dt(N) denote the number of ways of decomposing JV into / factors. N is defined as a highly composite number of the th order, if df (N) > dt(N') for all N' < N. Ramanujan's highly composite numbers form the particular case when t = 2.
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  • Highly Composite Numbers of the tth Order

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Authors

S. S. Pillai
Calcutta University, India

Abstract


Let dt(N) denote the number of ways of decomposing JV into / factors. N is defined as a highly composite number of the th order, if df (N) > dt(N') for all N' < N. Ramanujan's highly composite numbers form the particular case when t = 2.