most citedRoots and Critical Points of Polynomials over Cayley--Dickson Algebras

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

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3 papers

math.RA2022★ 2 cited

Roots and Critical Points of Polynomials over Cayley--Dickson Algebras

Adam Chapman, Alexander Guterman, Solomon Vishkautsan +1

We study the roots of polynomials over Cayley--Dickson algebras over an arbitrary field and of arbitrary dimension. For this purpose we generalize the concept of spherical roots fr…

math.NT2017

Quadratic rational functions with a rational periodic critical point of period 3

Solomon Vishkautsan, Michael Stoll

We provide a complete classification of possible graphs of rational preperiodic points of quadratic rational functions defined over the rationals with a rational periodic critical…

math.NT2017

Scarcity of finite orbits for rational functions over a number field

J. K. Canci, Sebastian Troncoso, Solomon Vishkautsan

Let be a an endomorphism of degree of the projective line, defined over a number field . Let be a finite set of places of , including the archimedean place…