The adelic zeta function associated with the space of binary cubic forms with coefficients in a function field

Datskovsky, Boris A.

doi:10.1090/S0002-9947-1987-0869230-7

The adelic zeta function associated with the space of binary cubic forms with coefficients in a function field
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by Boris A. Datskovsky PDF

Trans. Amer. Math. Soc. 299 (1987), 719-745 Request permission

Abstract:

In this paper we study the adelic zeta function associated with the prehomogeneous vector space of binary cubic forms, defined over a function field. We establish its rationality, find its poles and residues and a simple functional equation that this zeta function satisfies.

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