Highly Composite Numbers of the tth Order

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Authors

  • Calcutta University ,IN

DOI:

https://doi.org/10.18311/jims/1944/17091

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.