Journal of the Ramanujan Mathematical Society

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The normal number of prime factors of fa(𝓃)


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1 Department of Mathematics, University of Calgary, AB, Canada
     

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Assuming a quasi-generalized Riemann Hypothesis (6) for certain Dedekind zeta functions, we prove that if a ≥ 2 is a squarefree integer, then for the exponent function fa(𝓃) (defined below) we have

Σ (Ω(fa(𝓃))-1/2(log log n)2)2<< x(log log x)3.


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  • The normal number of prime factors of fa(𝓃)

Abstract Views: 244  |  PDF Views: 0

Authors

FiliP Saidak
Department of Mathematics, University of Calgary, AB, Canada

Abstract


Assuming a quasi-generalized Riemann Hypothesis (6) for certain Dedekind zeta functions, we prove that if a ≥ 2 is a squarefree integer, then for the exponent function fa(𝓃) (defined below) we have

Σ (Ω(fa(𝓃))-1/2(log log n)2)2<< x(log log x)3.