Shintani’s zeta function is not a finite sum of Euler products
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Publication:5418511
DOI10.1090/S0002-9939-2014-12064-8zbMath1294.11155arXiv1112.1397OpenAlexW2065114806MaRDI QIDQ5418511
Publication date: 4 June 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1112.1397
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