Generalized fruit Diophantine equation and hyperelliptic curves

DOI10.1007/s00605-023-01886-3arXiv2301.13474MaRDI QIDQ6201252

Kalyan Chakraborty, Om Prakash

Publication date: 20 February 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.13474

zbMATH Keywords

elliptic curveshyperelliptic curvesDiophantine equationquadratic residue

Mathematics Subject Classification ID

[https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Diophantine equations in many variables (11D72) Higher degree equations; Fermat's equation (11D41)

Cites Work

• Unnamed Item
• On the positive solutions of the Diophantine equation \(x^3+by+4-xyz=0\)
• On the positive integral solutions of the Diophantine equation \(x^3+by+1-xyz=0\)
• Finiteness theorems for abelian varieties over number fields.
• On an analogue of the Lutz-Nagell theorem for hyperelliptic curves
• A class of fruit Diophantine equations

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