The Journal of the Indian Mathematical Society

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A Note on the Paper of Sambasiva Rao


     

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In the notation of the previous paper, Mr. Rao's results are sharpened to the following

THEOREM,

Max S k(x)=log logx/log{k/(k-1)} + M(k)+O(k log k),

where M(k)=Max Sk(x) when l ≤ x ≤ (2k)k; and the constant in O is independent of k and x.


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  • A Note on the Paper of Sambasiva Rao

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Abstract


In the notation of the previous paper, Mr. Rao's results are sharpened to the following

THEOREM,

Max S k(x)=log logx/log{k/(k-1)} + M(k)+O(k log k),

where M(k)=Max Sk(x) when l ≤ x ≤ (2k)k; and the constant in O is independent of k and x.