S. Heintze

activity

20192026

most citedOn the growth of linear recurrences in function fields

6 citations · 33 across the 18 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Asymptotics for Pillai's problem with polynomials

Sebastian Heintze

Let $a_{1} (x) p_{1} (x)^{n} + \dots + a_{k} (x) p_{k} (x)^{n}$ as well as $b_{1} (x) q_{1} (x)^{m} + \dots + b_{l} (x) q_{l} (x)^{m}$ be two polynomial power sums where the complex polynomials $p_{i} (x)$ and…

math.NT2021

$S$ -unit values of $G_{n} + G_{m}$ in function fields

Sebastian Heintze

In this paper we consider a simple linear recurrence sequence $G_{n}$ defined over a function field in one variable over the field of complex numbers. We prove an upper bound on th…

math.NT2021★ 2 cited

Approximation of values of algebraic elements over the ring of power sums

Clemens Fuchs, Sebastian Heintze

Let $Q E_{Z}$ be the set of power sums whose characteristic roots belong to $Z$ and whose coefficients belong to $Q$ , i.e. $ G :…

Asymptotics for Pillai's problem with polynomials

S-unit values of Gn​+Gm​ in function fields

Approximation of values of algebraic elements over the ring of power sums

$S$ -unit values of $G_{n} + G_{m}$ in function fields