On a remarkable identity in class numbers of cubic rings

DOI10.1016/j.jnt.2016.12.002zbMath1422.11079arXiv1608.00166OpenAlexW2963965139WikidataQ114157390 ScholiaQ114157390MaRDI QIDQ518087

Evan O'Dorney

Publication date: 28 March 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00166

zbMATH Keywords

binary cubic formshigher composition lawsShintani zeta functions

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Other Dirichlet series and zeta functions (11M41) Class field theory (11R37) Cubic and quartic extensions (11R16)

Related Items (1)

On the Ohno-Nakagawa theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral trace forms associated to cubic extensions
• Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms. II
• On cubic rings and quaternion rings
• On the relations among the class numbers of binary cubic forms
• Higher composition laws. II: On cubic analogues of Gauss composition
• Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations
• Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems
• Identities for field extensions generalizing the Ohno–Nakagawa relations
• A conjecture on coincidence among the zeta functions associated with the space of binary cubic forms
• On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

This page was built for publication: On a remarkable identity in class numbers of cubic rings