A holomorphic version of the Tate-Iwasawa method for unramified L-functions. I
Journal Article
·
· Sbornik. Mathematics
- Steklov Mathematical Institute of Russian Academy of Sciences (Russian Federation)
Using the Tate-Iwasawa method the problem of meromorphic continuation and of the existence of a functional equation can be solved for the zeta and L-functions of one-dimensional arithmetical schemes. A new version of this method is put forward, which looks at the case of curves over a finite field and of unramified L-functions. The proof is based on a reduction of the problem to a Cousin problem on the Riemann sphere which is related to the curve under consideration. Bibliography: 16 titles.
- OSTI ID:
- 22364688
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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