The adelic zeta function associated with the space of binary cubic forms with coefficients in a function field-Reference-Cited by-同舟云学术

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

Published:1987 Issue:2 Volume:299 Page:719-745
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Datskovsky Boris A.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1987-299-02/S0002-9947-1987-0869230-7/S0002-9947-1987-0869230-7.pdf

Reference36 articles.

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3. B. Datskovsky, On zeta functions associated with the space of binary cubic forms with coefficients in a function field, Ph.D. thesis, Harvard Univ., 1984.

4. Congruence zeta functions for 𝑀₂(𝑄) and their associated modular forms;Cogdell, J. W.;Math. Ann.,1983

5. On the class-number of binary cubic forms. I;Davenport, H.;J. London Math. Soc.,1951

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