Local zeta functions and Meuser's invariant functions
β Scribed by Johan Pas
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 570 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
Let X be a complete singular algebraic curve defined over a finite field of q elements. To each local ring O of X there is associated a zeta-function `O(s) that encodes the numbers of ideals of given norms. It splits into a finite sum of partial zeta-functions, which are rational functions in q &s .
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
## Abstract In this paper we establish a class of arithmetical Fourier series as a manifestation of the intermediate modular relation, which is equivalent to the functional equation of the relevant zetaβfunctions. One of the examples is the one given by Riemann as an example of a continuous nonβdif