Stefan Bara'nczuk

activity

20082026

most citedOn a generalization of the support problem of Erdos and its analogues for abelian varieties and K-theory

3 citations · 3 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019

Zsigmondy's Theorem for Chebyshev polynomials

Stefan Barańczuk

For an integer $a$ consider the sequence $(T_{n} (a) - 1)_{n = 1}^{\infty}$ defined by the Chebyshev polynomials $T_{n}$ . We list all pairs $(n, a)$ for which the term $T_{n} (a) - 1$ has n…

math.AG2019

Reducing the number of equations defining a subset of the $n$ -space over a finite field

Stefan Barańczuk

Let $f_{1}, \dots, f_{k}$ be polynomials defining an algebraic set in affine $n$ -space over a finite field. Suppose $k > n$ . We prove that there exists a system of polynomials $g_{1…

Zsigmondy's Theorem for Chebyshev polynomials

Reducing the number of equations defining a subset of the n-space over a finite field

Reducing the number of equations defining a subset of the $n$ -space over a finite field