35 citations · 78 across the 11 of their papers we have counts for
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math.AG2010★ 9 cited
On the curvature of the real amoeba
Mikael Passare, Jean-Jacques Risler
For a real smooth algebraic curve $A \subset (\mathhbb{C}^*)^2$, the amoeba is the image of under the map Log : $(x,y) \mapsto (\log |x|, \lo…
math.CV2010★ 3 cited
Mellin transforms of multivariate rational functions
Lisa Nilsson, Mikael Passare
This paper deals with Mellin transforms of rational functions in several variables. We prove that the polar set of such a Mellin transform consists of finitely many families…
math.AG2010★ 3 cited
New Multiplier Sequences via Discriminant Amoebae
Mikael Passare, Boris Shapiro, J. Maurice Rojas
In their classic 1914 paper, Polya and Schur introduced and characterized two types of linear operators acting diagonally on the monomial basis of R[x], sending real-rooted polynom…