Shintani’s zeta function is not a finite sum of Euler products

Author:

Thorne Frank

Abstract

We prove that the Shintani zeta function associated to the space of binary cubic forms cannot be written as a finite sum of Euler products. Our proof also extends to several closely related Dirichlet series. This answers a question of Wright in the negative.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Subconvexity of Shintani’s zeta function;Transactions of the American Mathematical Society;2022-08-30

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