1 citations · 1 across the 7 of their papers we have counts for
8 papers
A description of and an upper bound on the set of bad primes in the study of the Casas-Alvero Conjecture
Daniel Schaub, Mark Spivakovsky
The Casas--Alvero conjecture predicts that every univariate polynomial over a field of characteristic zero having a common factor with each of its derivatives is a power o…
A note on the Casas-Alvero Conjecture
Daniel Schaub, Mark Spivakovsky
The Casas--Alvero conjecture predicts that every univariate polynomial over a field of characteristic zero having a common factor with each of its derivatives is…
On the set of bad primes in the study of Casas-Alvero Conjecture
Daniel Schaub, Mark Spivakovsky
The Casas-Alvero conjecture predicts that every univariate polynomial over a field of characteristic zero having a common factor with each of its derivatives is a power of…
On the strong separation conjecture
F Lucas, D. Schaub, M. Spivakovsky
This paper contains a partial result on the Pierce--Birkhoff conjecture on piece-wise polynomial functions defined by a finite collection {f 1,. .., f r} of polynomials. In the nin…
On the Pierce-Birkhoff Conjecture
François Lucas, Daniel Schaub, Mark Spivakovsky
This paper represents a step in our program towards the proof of the Pierce--Birkhoff conjecture. In the nineteen eighties J. Madden proved that the Pierce-Birkhoff conjecture for…
Approximate roots of a valuation and the Pierce-Birkhoff Conjecture
François Lucas, James Madden, Daniel Schaub +1
This paper is a step in our program for proving the Piece-Birkhoff Conjecture for regular rings of any dimension (this would contain, in particular, the classical Pierce-Birkhoff c…