E. Goedhart

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20132026

most citedDiophantine approximation and the equation (a^2 c x^k - 1)(b^2 c y^k - 1) = (abc z^k - 1)^2

2 citations · 3 across the 10 of their papers we have counts for

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math.NT2022

On the Diophantine equations of the form $λ_{1} U_{n_{1}} + λ_{2} U_{n_{2}} + \dots + λ_{k} U_{n_{k}} = w p_{1}^{z_{1}} p_{2}^{z_{2}} \dots p_{s}^{z_{s}}$

Eva Goedhart, Brian Ha, Lily McBeath +1

In this paper, we consider the Diophantine equation $λ_{1} U_{n_{1}} + \dots + λ_{k} U_{n_{k}} = w p_{1}^{z_{1}} \dots p_{s}^{z_{s}},$ where ${U_{n}}_{n \geq 0}$ is a fixed non-degenerate linear recurrenc…

math.NT2022

Prime rational functions over a field

Eva Goedhart, Omar Kihel, Jesse Larone

The aim of this paper is to provide sufficient conditions for when a polynomial or rational function over a field K is prime using its order of vanishing at infinity and the result…

On the Diophantine equations of the form λ1​Un1​​+λ2​Un2​​+…+λk​Unk​​=wp1z1​​p2z2​​⋯pszs​​

Prime rational functions over a field

On the Diophantine equations of the form $λ_{1} U_{n_{1}} + λ_{2} U_{n_{2}} + \dots + λ_{k} U_{n_{k}} = w p_{1}^{z_{1}} p_{2}^{z_{2}} \dots p_{s}^{z_{s}}$