4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NT2022
Superficies elípticas y el décimo problema de Hilbert
Hector Pasten
A negative solution to Hilbert's tenth problem for the ring of integers of a number field would follow if were Diophantine in . Denef and Lipshitz conje…
math.NT2014
Uniform positive existential interpretation of the integers in rings of entire functions of positive characteristic
Natalia Garcia-Fritz, Hector Pasten
We prove a negative solution to the analogue of Hilbert's tenth problem for rings of one variable non-Archimedean entire functions in any characteristic. In the positive characteri…
math.CV2010★ 4 cited
Representation of squares by monic second degree polynomials in the field of -adic meromorphic functions
Hector Pasten
We prove a result on the representation of squares by second degree polynomials in the field of -adic meromorphic functions in order to solve positively Büchi's squares prob…