Zeta-functions of binary Hermitian forms
โ Scribed by E. Gaigalas
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 442 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0363-1672
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
In this paper we determine the principal part of the adjusted zeta function for the space of pairs of binary Hermitian forms.
We give an explicit description of functional equations satisfied by zeta functions on the space of unramified hermitian forms over a p-adic field. Further, as an application, we give explicit expressions of local densities of integral representations of nondegenerate unramified hermitian matrices w