We associate zeta functions in two variables with the vector space of binary hermitian forms and prove their functional equation. From Weil's converse theorem, we can show that the Mellin inverse transforms of these zeta functions give elliptic modular forms if they are specialized to one-variable z
On the Shintani Zeta Function for the Space of Pairs of Binary Hermitian Forms
โ Scribed by Akihiko Yukie
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 340 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0022-314X
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โฆ Synopsis
In this paper we determine the principal part of the adjusted zeta function for the space of pairs of binary Hermitian forms.
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