4 citations · 6 across the 7 of their papers we have counts for
7 papers
Erdős-Ginzburg-Ziv type generalizations for linear equations and linear inequalities in three variables
Mario Huicochea, Amanda Montejano
For any linear inequality in three variables , we determine (if it exist) the smallest integer such that: for every mapping $χ…
On the minimum number of high degree curves containing few points
Mario Huicochea
In this paper we state two quantitative Sylvester-Gallai results for high degree curves. Moreover we give two constructions which show that these results are not trivial.
Elekes-Rónyai Theorem revisited
Mario Huicochea
In this paper it is proven that for any and nonempty finite subsets of such that and is defined in $A_1\times A_2…
On the multiplicity estimates
Mario Huicochea
In this paper we show some multiplicity estimates theorems for a connected algebraic group (not necessarily commutative) over an algebraically closed subfield of .…
An inverse theorem in and rainbow free colorings
Mario Huicochea
Let be the field with elements with prime, pairwise disjoint subsets of with at least elements such that $\sum_{i=1}^n|X_…
Linear independence measure of logarithms over affine groups
Mario Huicochea
Linear forms in logarithms over connected commutative algebraic groups over the algebraic numbers field have been studied widely. However, the theory of linear forms in logarithms…
The structure of rainbow-free colorings for linear equations on three variables in Zp
Mario Huicochea, Amanda Montejano
Let p be a prime number and Zp be the cyclic group of order p. A coloring of Zp is called rainbow-free with respect to a certain equation, if it contains no rainbow solution of the…