Lukas Turčinskas

most citedNote on the positivity of the real part of the log-derivative of the Riemann

ξ

-function near the critical line

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

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…

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

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