Journal of the Ramanujan Mathematical Society

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 f_a(𝓃) (defined below) we have

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

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