4 papers
Solutions of polynomial equations in several variables modulo a prime power
Arnaud Bodin, Christian Drouin
We explain how to obtain the set of solutions of a multivariate polynomial equation modulo a power of a prime number. These solutions are determined by a tree, called the trunk, wh…
Solutions of a polynomial equation modulo a prime power
Arnaud Bodin, Christian Drouin
How do you find the integer solutions of a polynomial equation modulo an integer?
Around the gcd of the values of two polynomials
Arnaud Bodin, Christian Drouin
We propose a mathematical walk around the gcd of the values and of two polynomials evaluated at an integer . This is an opportunity to use a very powerful tool: th…
Combinatorial study of morsifications of real univariate singularities
Arnaud Bodin, Evelia Rosa GarcÃa Barroso, Patrick Popescu-Pampu +1
We study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions, via planar contac…