Conjecture on the variance of the normalized Euler totient function in intervals
Let R0(x):=∑n≤xφ(n)n−xζ(2)R_0(x):=\sum_{n\leq x}\frac{\varphi(n)}{n}-\frac{x}{\zeta(2)}R0(x):=∑n≤xnφ(n)−ζ(2)x and, for an interval of size HHH, let … Let H=Θ(xδ)H=\Theta(x^\delta)H=Θ(xδ) for some fixed 0<δ≤10<\delta\leq 10<δ≤1. Variance conje…
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