{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/descent-methods-for-studying-integer-points","title":"Descent methods for studying integer points on $y^{n}=f(x)g(x),\\ n\\ge 2$","arxiv_id":"2209.07909","date":"2022-09-16","proceeding":null,"authors":["K. A. Draziotis"],"abstract":"We study the integer points on superelliptic and hyperelliptic curves of the form $y^n=f(x)g(x),$ $n\\ge 2, {\\rm{deg}}{f}+{\\rm{deg}}{g}\\ge 4.$","url_abs":"https://arxiv.org/abs/2209.07909v1","url_pdf":"https://arxiv.org/pdf/2209.07909v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"descent-methods-for-studying-integer-points","repo_url":"https://github.com/drazioti/hyper_super_elliptic","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}