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Title: A holomorphic version of the Tate-Iwasawa method for unramified L-functions. I

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.
Authors:
 [1]
  1. Steklov Mathematical Institute of Russian Academy of Sciences (Russian Federation)
Publication Date:
OSTI Identifier:
22364688
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CALCULATION METHODS; DIAGRAMS; DIFFERENTIAL EQUATIONS; FUNCTIONALS; FUNCTIONS; MATHEMATICAL SOLUTIONS; ONE-DIMENSIONAL CALCULATIONS; RIEMANN SPACE