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Siksek, Samir (2001)
Publisher: American Mathematical Society
Languages: English
Types: Article
Subjects: QA

Classified by OpenAIRE into

arxiv: Mathematics::Algebraic Geometry, Mathematics::Number Theory, Nonlinear Sciences::Exactly Solvable and Integrable Systems
We give a new and efficient method of sieving for rational points\ud on hyperelliptic curves. This method is often successful in proving that a\ud given hyperelliptic curve, suspected to have no rational points, does in fact\ud have no rational points; we have often found this to be the case even when our\ud curve has points over all localizations Qp. We illustrate the practicality of the\ud method with some examples of hyperelliptic curves of genus 1.
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    • Canterbury, UK Current address: Department of Mathematics, College of Science, PO Box 36, Sultan Qaboos
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