Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Krasoń, Piotr"'
Autor:
Kędzierski, Dawid E., Krasoń, Piotr
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 function field case concerning $\Ext_{\tau}^1(E,C)$ where $E$ is a Dri
Externí odkaz:
http://arxiv.org/abs/2409.04029
In \cite{kk04} the second and third author extended the methods of \cite{pr} and determined the \tm module structure on $\Ext^1(\Phi,\Psi )$ where $\Phi $ and $\Psi$ were Anderson \tm modules over $A={\mathbf F}_q[t]$ of some specific types. This app
Externí odkaz:
http://arxiv.org/abs/2408.08207
Publikováno v:
In Journal of Number Theory March 2024 256:97-135
Autor:
Krasoń, Piotr, Milewski, Jan
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. Carlson. The coefficients of these relations are contained in the ri
Externí odkaz:
http://arxiv.org/abs/2009.07467
Autor:
Krasoń, Piotr, Milewski, Jan
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 ring. This is done by means of certain cyclic group actions on some subs
Externí odkaz:
http://arxiv.org/abs/1905.11815
Autor:
Krasoń, Piotr
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. Banaszak and the author obtained the sufficient condition for the validity o
Externí odkaz:
http://arxiv.org/abs/1905.10637
Autor:
Krasoń, Piotr, Milewski, Jan
We consider an eigenvalue problem for an inverted one dimensional harmonic oscillator. We find a complete description for the eigenproblem in $C^{\infty}(\mathbb R)$. The eigenfunctions are described in terms of the confluent hypergeometric functions
Externí odkaz:
http://arxiv.org/abs/1905.10641
Autor:
Krason, Piotr, Milewski, Jan
In this paper we treat certain elliptic and hyper-elliptic integrals in a unified way. We introduce a new basis of these integrals coming from certain basis ${\phi}_n(x)$ of polynomials and show that the transition matrix between this basis and the t
Externí odkaz:
http://arxiv.org/abs/1905.09666
Autor:
Bondarewicz, Wojciech, Krasoń, Piotr
In this paper we investigate a local to global principle for Mordell-Weil group defined over a ring of integers ${\cal O}_K$ of $t$-modules that are products of the Drinfeld modules ${\widehat\varphi}={\phi}_{1}^{e_1}\times \dots \times {\phi}_{t}^{e
Externí odkaz:
http://arxiv.org/abs/1811.05631
Autor:
Banaszak, Grzegorz, Krason, Piotr
In this paper we investigate linear dependence of points in Mordell-Weil groups of abelian varieties via reduction maps. In particular we try to determine the conditions for detecting linear dependence in Mordell-Weil groups via finite number of redu
Externí odkaz:
http://arxiv.org/abs/0904.2848