A. Grigutis

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math.NT2025

Note on the positivity of the real part of the log-derivative of the Riemann $ξ$ -function near the critical line

Andrius Grigutis, Lukas Turčinskas

In this work, we investigate the positivity of the real part of the log-derivative of the Riemann $ξ$ -function in the region $1/2 + 1/ lo g t < σ < 1$ , where $t$ is sufficiently la…

math.NT2025

Picturesque convolution-like recurrences and partial sums' generation

Ignas Gasparavičius, Andrius Grigutis, Juozas Petkelis

Let $b = {b_{0}, b_{1}, \dots}$ be the known sequence of numbers such that $b_{0} \neq = 0$ . In this work, we develop methods to find another sequence ${\pmb a}=\{a_0,\,a_1,\,\ldot…

Note on the positivity of the real part of the log-derivative of the Riemann ξ-function near the critical line

Picturesque convolution-like recurrences and partial sums' generation

Note on the positivity of the real part of the log-derivative of the Riemann $ξ$ -function near the critical line