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20172026
most citedRoots and Critical Points of Polynomials over Cayley--Dickson Algebras

2 citations · 2 across the 7 of their papers we have counts for

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math.NT2024

The field of iterates of a rational function

Francesco Veneziano, Solomon Vishkautsan

We study how the field of definition of a rational function changes under iteration. We provide a complete classification of polynomials with the property that the field of definit…

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…