A. Grigutis

collaborators

4 papers

math.PR2026

Several expressions of the net single premiums under the constant force of mortality

Andrius Grigutis, Laurynas Lukoševičius, Mindaugas Venckevičius

In this article, we present several formulas that make it easier to compute the net single premiums when the mortality force over the fractional ages is assumed to be constant (C).…

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…

math.PR2025

Several facts about Theodor Wittstein, Gaetano Balducci, and some expressions of the net single premiums under their mortality assumption

Andrius Grigutis, Eglė Matulevičiūtė, Mindaugas Venckevičius

The mathematical essence in life insurance spins around the search of the nu\-me\-ri\-cal characteristics of the random variables $T_{x}$ , $ν^{T_{x}}$ , $T_{x} ν^{T_{x}}$ , etc., where $ν$ (d…

Several expressions of the net single premiums under the constant force of mortality

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

Several facts about Theodor Wittstein, Gaetano Balducci, and some expressions of the net single premiums under their mortality assumption

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