3 citations · 3 across the 9 of their papers we have counts for
6 papers · 1 filter
Polynomial representatives of finite-field maps: a sharp dimensional dichotomy
Stefan Barańczuk, Tomasz Ślusarski
Let . A polynomial representative of a finite-set map is a tuple of polynomials inducing that map on the rational-point grid. We prove a sharp distinction between a…
Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve
Stefan Barańczuk, Bartosz Naskręcki, Matteo Verzobio
Let be an abelian variety defined over a number field , be an elliptic curve, and be an isogeny defined over . Let be such that $ϕ(P)=(Q_1,…
Zsigmondy's Theorem for Chebyshev polynomials
Stefan Barańczuk
For an integer consider the sequence defined by the Chebyshev polynomials . We list all pairs for which the term has n…
On the arithmetic of polynomials with coefficients in Mordell-Weil type groups
Stefan Barańczuk
In this paper we prove Hasse local-global principle for polynomials with coefficients in Mordell-Weil type groups over number fields like S-units, abelian varieties with trivial ri…
Hasse-Minkowski theorem for quadratic forms on groups
Stefan Barańczuk
Consider groups such as Mordell-Weil groups of abelian varieties over number fields, odd algebraic -theory groups of number fields, or finitely generated subgroups of the multip…
On a generalization of the support problem of Erdos and its analogues for abelian varieties and K-theory
Stefan Barańczuk
In this paper we consider certain local-global principles for Mordell-Weil type groups over number fields like S-units, abelian varieties and algebraic K-theory groups