Piotr Krasoń

activity

20182026

collaborators

11 papers

math.OC2026

Compatible Bases and Actuator Scheduling

Dawid E. Kędzierski, Piotr Krasoń

We study a constrained basis-selection problem for an ordered block matrix $B = [B_{1} ∣ \dots ∣ B_{n}] .$ The successive tail matrices determine a nested family of column spaces, a…

math.HO2026

Banded Reduction of Integrals for Hyperexponential and Algebraic Functions

Piotr Krasoń, Jan Milewski

We develop a finite-band method for the reduction of families of indefinite integrals. The starting point is the case in which the logarithmic derivative $K^{'} (x) / K (x)$ is a rational…

math.AG2026

Duality for t- modules: The Difficult Cases

Dawid E. Kędzierski., Piotr Krasoń

This paper continues our previous work on duality for Anderson $t$ -modules. We study two dimensional triangular t-modules in a specific reduce form. Computer - assisted symbolic co…

math.NT2025

Homological Methods in the Generalization of Drinfeld Modules

Dawid E. Kędzierski, Piotr Krasoń

We introduce and study a natural class of Anderson t- modules, called triangular t-modules, characterized by having Drinfeld modules as their $τ$ -composition factors. They form a h…

math.NT2024

Weil-Barsotti formula for $T$ -modules

Dawid E. Kędzierski, Piotr Krasoń

In the work of M. A. Papanikolas and N. Ramachandran [A Weil-Barsotti formula for Drinfeld modules, Journal of Number Theory 98, (2003), 407-431] the Weil-Barsotti formula for the…

math.NT2024

Algorithms for determination of t-module structures on some extension groups

Filip Głoch, Dawid E. Kędzierski, Piotr Krasoń

In \cite{kk04} the second and third author extended the methods of \cite{pr} and determined the \tm module structure on $\Ext^1(Φ,Ψ)$ where $Φ$ and $Ψ$ were Anderson \tm modules ov…

math.CA2020

Linear relations for Lauricella $F_{D}$ functions and symmetric polynomial

Piotr Krasoń, Jan Milewski

In this paper we develop an algorithm for obtaining some new linear relations among the Lauricella $F_{D}$ functions. Relations we obtain, generalize those hinted in the work of B. C…

math-ph2019

Arithmetic of Heisenberg ring and cyclic group actions

Piotr Krasoń, Jan Milewski

In this paper we compute in some new cases the cardinalities of the fibers of certain natural fibrations that appear in the analysis of the configuration space of the Heisenberg ri…

math-ph2019

On eigenproblem for inverted harmonic oscillators

Piotr Krasoń, Jan Milewski

We consider an eigenvalue problem for an inverted one dimensional harmonic oscillator. We find a complete description for the eigenproblem in $C^{\infty} (R)$ . The eigenfunc…

math.KT2019

Note on linear relations in Galois cohomology and {é}tale $K$ -theory of curves

Piotr Krasoń

In this paper we investigate a local to global principle for Galois cohomology of number fields with coefficients in the Tate module of an abelian variety. In \cite{bk13} G. Banasz…

math.NT2018

On a reduction map for Drinfeld modules

Wojciech Bondarewicz, Piotr Krasoń

In this paper we investigate a local to global principle for Mordell-Weil group defined over a ring of integers $O_{K}$ of $t$ -modules that are products of the Drinfeld module…

Compatible Bases and Actuator Scheduling

Banded Reduction of Integrals for Hyperexponential and Algebraic Functions

Duality for t- modules: The Difficult Cases

Homological Methods in the Generalization of Drinfeld Modules

Weil-Barsotti formula for T-modules

Algorithms for determination of t-module structures on some extension groups

Linear relations for Lauricella FD​ functions and symmetric polynomial

Arithmetic of Heisenberg ring and cyclic group actions

On eigenproblem for inverted harmonic oscillators

Note on linear relations in Galois cohomology and {é}tale K-theory of curves

On a reduction map for Drinfeld modules

Weil-Barsotti formula for $T$ -modules

Linear relations for Lauricella $F_{D}$ functions and symmetric polynomial

Note on linear relations in Galois cohomology and {é}tale $K$ -theory of curves