A. Grigutis

activity

20162026

most citedRuin probability in the three-seasonal discrete-time risk model

9 citations · 32 across the 18 of their papers we have counts for

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4 papers · 1 filter

math.NT2026

Four explicit continued fractions for values of the Lerch transcendent and the Hurwitz zeta function

Andrius Grigutis, Yuri Matiyasevich, Lukas Turčinskas

We prove four explicit continued fraction representations for the Lerch transcendent $Φ (z, s, M + 1)$ , where $ℜ M > 0$ and $(z, s) \in {(- 1, 1), (- 1, 2), (1, 2), (1, 3)}$ . All of the continu…

math.NT2025★ 1 cited

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…

math.NT2022★ 2 cited

On a positivity property of the real part of logarithmic derivative of the Riemann $ξ$ -function

Edvinas Goldštein, Andrius Grigutis

In this paper we investigate the positivity property of the real part of logarithmic derivative of the Riemann $ξ$ -function for $1/2 < σ < 1$ and sufficiently large $t$ . We give an exp…

Four explicit continued fractions for values of the Lerch transcendent and the Hurwitz zeta function

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

On a positivity property of the real part of logarithmic derivative of the Riemann ξ-function

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

On a positivity property of the real part of logarithmic derivative of the Riemann $ξ$ -function