$GL_{2}(O_K)$-invariant lattices in the space of binary cubic forms with coefficients in the number field $K$

DOI10.1090/S0002-9939-2014-11978-2zbMath1302.11067MaRDI QIDQ5418543

Charles Osborne

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dirichlet seriesinvariant latticeadelic zeta-functionbinary value form

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42)

Cites Work

• The adèlic zeta function associated to the space of binary cubic forms. I: Global theory
• On zeta functions associated with prehomogeneous vector spaces
• Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms
• The adelic zeta function associated to the space of binary cubic forms. II: Local theory.
• Density of discriminants of cubic extensions.
• On Dirichlet series whose coefficients are class numbers of integral binary cubic forms
• Unnamed Item

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