The Adelic Zeta Function Associated With the Space of Binary Cubic Forms With Coefficients in a Function Field

DOI10.2307/2000522zbMath0634.10021OpenAlexW4248261932MaRDI QIDQ3772294

Boris A. Datskovsky

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000522

zbMATH Keywords

functional equationclass numberrationalityquasi-charactersprehomogeneous vector spaceadelic zeta-functionbinary cubic forms over function fields

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Forms of degree higher than two (11E76) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quadratic forms over global rings and fields (11E12) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions of number fields (11R42)

Related Items (2)

Twists of the Iwasawa-Tate zeta function ⋮ A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field

Cites Work

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• On the density of discriminants of cubic fields. II
• On the Analogue of the Modular Group in Characteristic p
• On the Class-Number of Binary Cubic Forms (I)
• On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

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