Emily Quesada-Herrera

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20202024

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math.NT2024

Fourier optimization and consequences of the generalized Riemann hypothesis

Emily Quesada-Herrera

We give an exposition of some connections between Fourier optimization problems and problems in number theory. In particular, we present some recent conditional bounds under the ge…

math.NT2020

The second moment of $S_{n} (t)$ on the Riemann hypothesis

Andrés Chirre, Emily Quesada-Herrera

Let $S (t) = \frac{1}{π} ar g ζ (1/2 + i t)$ 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 antiderivatives a…

Fourier optimization and consequences of the generalized Riemann hypothesis

The second moment of Sn​(t) on the Riemann hypothesis

The second moment of $S_{n} (t)$ on the Riemann hypothesis