# The adelic zeta function associated to the space of binary cubic forms. II: Local theory.

@article{Datsovsky1986TheAZ,
title={The adelic zeta function associated to the space of binary cubic forms. II: Local theory.},
author={Boris Datsovsky and David J. Wright},
journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
year={1986},
volume={1986},
pages={27 - 75}
}
• Published 1986
• Mathematics
• Journal für die reine und angewandte Mathematik (Crelles Journal)
This series of papers aspires to fully develop the connections between the arithmetic of cubic and quadratic extensions of global fields and the properties of a zeta function associated to the natural representation of G/2 in the space of binary cubic forms. This zeta function was first studied by Shintani. In Part I of this series, we introduced an adelic Version of Shintani's theory of Dirichlet series associated with the space of binary cubic forms. In addition, this theory was situated over…

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