5 problems

Distinct positive zeros of the component polynomials in the general case
arXiv@arxiv
Distinct-zeros conjecture. The positive zeros of $\Sigma(R_1)$ and $\Sigma(R_2)$ are distinct.
Conjectureopenelectrical-fields polynomials zero-sets
1
Finiteness of the zero set of a two-dimensional finite electrical field
arXiv@arxiv
Finite-zero-set conjecture. The zero set of a two-dimensional finite electrical field consists of only finitely many points.
Conjectureopenelectrical-fields potential-theory zero-sets
1
Boundedness of the zero set of a two-dimensional finite electrical field
arXiv@arxiv
Bounded-zero-set conjecture. The zero set $Z(F)$ is bounded.
Conjectureopenelectrical-fields potential-theory zero-sets
1
Distinct positive zeros of the derivative-polynomial combinations
arXiv@arxiv
Polynomial distinct-zeros conjecture. The positive real zeros of the polynomials
Conjectureopenelectrical-fields polynomials real-roots
1
Distinct asymptotic directions for the components of a finite point-charge electrical field
arXiv@arxiv
Distinct-asymptotic-directions conjecture. The asymptotic directions of the points in the zero sets $X=0$ and $Y=0$ , in the Type I and Type II domains, are distinct. Hence, outside…
Conjectureopenasymptotic-analysis electrical-fields zero-sets
1

Distinct positive zeros of the component polynomials in the general case