Orbital L-functions for the Space of Binary Cubic Forms

DOI10.4153/CJM-2013-027-0zbMath1370.11107arXiv1112.5030MaRDI QIDQ2862945

Frank Thorne, Takashi Taniguchi

Publication date: 20 November 2013

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5030

zbMATH Keywords

\(L\)-functionsprehomogeneous vector spacesbinary cubic formsShintani zeta functionscubic rings and fields

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Other Dirichlet series and zeta functions (11M41) Prehomogeneous vector spaces (11S90)

Related Items (7)

Secondary terms in counting functions for cubic fields ⋮ Maass form twisted Shintani $\mathcal {L}$-functions ⋮ On the Ohno-Nakagawa theorem ⋮ Shintani’s zeta function is not a finite sum of Euler products ⋮ The local zeta function in enumerating quartic fields ⋮ The shape of cubic fields ⋮ An error estimate for counting S₃-sextic number fields

Uses Software

• PARI/GP

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