Abstract
We give a method for the computation of integral points on a hyperelliptic curve of odd degree over the rationals whose genus equals the Mordell-Weil rank of its Jacobian. Our approach consists of a combination of the p-adic approximation techniques introduced in previous work with the Mordell-Weil sieve.
Original language | English |
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Pages (from-to) | 1403-1434 |
Number of pages | 32 |
Journal | Mathematics of Computation |
Volume | 86 |
Issue number | 305 |
DOIs | |
State | Published - 1 Jan 2017 |
ASJC Scopus subject areas
- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics