H
Hector Pasten
Researcher at Pontifical Catholic University of Chile
Publications - 43
Citations - 216
Hector Pasten is an academic researcher from Pontifical Catholic University of Chile. The author has contributed to research in topics: Elliptic curve & Conjecture. The author has an hindex of 8, co-authored 38 publications receiving 181 citations. Previous affiliations of Hector Pasten include Princeton University & Harvard University.
Papers
More filters
Journal ArticleDOI
A survey on Büchi’s problem: new presentations and open problems
TL;DR: In a commutative ring with a unit, a Buchi sequence is a sequence such that the second difference of the sequence of its squares is the constant sequence (2).
Journal ArticleDOI
GCD Bounds for Analytic Functions
TL;DR: In this paper, the authors considered the problem of computing upper bounds for the counting function of common zeros of two entire analytic functions in various settings, applying techniques from analytic number theory and Diophantine approximation in the context of entire and meromorphic functions.
Journal ArticleDOI
The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments
TL;DR: In this article, Tao and Ziegler gave an asymptotic estimate for the number of square-free values of a polynomial at prime arguments on the ABC conjecture.
Journal ArticleDOI
Powerful values of polynomials and a conjecture of Vojta
TL;DR: In this article, it was shown that a Diophantine conjecture of Vojta implies complete answers to these problems, and unconditional analogues for function fields and complex meromorphic functions.
Journal ArticleDOI
Modular forms and effective Diophantine approximation
M. Ram Murty,Hector Pasten +1 more
TL;DR: In this paper, a partial bound for the Faltings height of elliptic curves in terms of the conductor (Frey's height conjecture) was shown to be equivalent to a version of the ABC conjecture.