E. Carneiro

activity

20082026

most citedDerivative bounds for fractional maximal functions

83 citations · 1k across the 45 of their papers we have counts for

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Showing 2017 · math.NTShow all

3 papers · 2 filters

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★ 43 cited

Fourier optimization and prime gaps

Emanuel Carneiro, Micah B. Milinovich, Kannan Soundararajan

We investigate some extremal problems in Fourier analysis and their connection to a problem in prime number theory. In particular, we improve the current bounds for the largest pos…

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

Fourier optimization and prime gaps

Bounding Sn​(t) on the Riemann hypothesis

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