A proof of quintic reciprocity using the arithmetic of y² = x⁵ + 1/4

DOI10.4064/aa-75-4-321-337zbMath0841.11032OpenAlexW1179770945MaRDI QIDQ4875926

David Grant

Publication date: 25 June 1996

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206880

zbMATH Keywords

Jacobiancomplex multiplicationexplicit computationsformal groupcurves of genus 2quintic reciprocity law

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) [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)] Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

5-rank of ambiguous class groups of quintic Kummer extensions ⋮ Torsion points on the Jacobian of a Fermat quotient

This page was built for publication: A proof of quintic reciprocity using the arithmetic of y² = x⁵ + 1/4