On a relation to the Riemann Hypothesis and an analytic part for the divisor function
Abstract
Let phi(n) denote the Euler totient function. We study the analytic part associated with the summatory function of sigma1(n) and obtain explicit bounds under the Riemann Hypothesis. In particular, we establish an upper bound of order xdelta' exp((log x)/(log log x)), where delta' = max(1/2, delta).
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