The Journal of the Indian Mathematical Society

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On a Congruence Property of the Divisor Function II


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1 Calcutta, India
     

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Let d(n) be the number of divisors of n and N(k,x) be the number of n ≤ x for which d(n)=0(modk). Then in I it is proved that N(k,x) ∼ [I-ζ(k)/ζ(k-I)]x when k is a prime.
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  • On a Congruence Property of the Divisor Function II

Abstract Views: 192  |  PDF Views: 0

Authors

L. G. Sathe
Calcutta, India

Abstract


Let d(n) be the number of divisors of n and N(k,x) be the number of n ≤ x for which d(n)=0(modk). Then in I it is proved that N(k,x) ∼ [I-ζ(k)/ζ(k-I)]x when k is a prime.