234 citations · 697 across the 29 of their papers we have counts for
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math.CV2017★ 9 cited
The quaternionic Gauss-Lucas Theorem
Riccardo Ghiloni, Alessandro Perotti
The classic Gauss-Lucas Theorem for complex polynomials of degree has a natural reformulation over quaternions, obtained via rotation around the real axis. We prove that su…
math.CV2017★ 17 cited
Division algebras of slice functions
Riccardo Ghiloni, Alessandro Perotti, Caterina Stoppato
This work studies slice functions over finite-dimensional division algebras. Their zero sets are studied in detail along with their multiplicative inverses, for which some unexpect…