Andrés Chirre

activity

20172026

most citedBandlimited approximations and estimates for the Riemann zeta-function

16 citations · 46 across the 17 of their papers we have counts for

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math.NT2017★ 16 cited

Bandlimited approximations and estimates for the Riemann zeta-function

Emanuel Carneiro, Andrés Chirre, Micah B. Milinovich

In this paper, we provide explicit upper and lower bounds for the argument of the Riemann zeta-function and its antiderivatives in the critical strip under the assumption of the Ri…

math.NT2017★ 13 cited

Bounding $S_{n} (t)$ on the Riemann hypothesis

Emanuel Carneiro, Andrés Chirre

Let $S (t) = \frac{1}{π} ar g ζ (\frac{1}{2} + i t)$ be the argument of the Riemann zeta-function at the point $\frac{1}{2} + i t$ . For $n \geq 1$ and $t > 0$ define its iterates \begin{equation…

Bandlimited approximations and estimates for the Riemann zeta-function

Bounding Sn​(t) on the Riemann hypothesis

Bounding $S_{n} (t)$ on the Riemann hypothesis