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A residue scalar product for algebraic function fields over a number field | Xian-Jin Li
; | Date: |
21 Mar 1999 | Subject: | Number Theory | math.NT | Affiliation: | AIM | Abstract: | In 1952 Peter Roquette gave an arithmetic proof of the Riemann hypothesis for algebraic function fields of a finite constants field, which was proved by André Weil in 1940. The construction of Weil’s scalar product is essential in Roquette’s proof. In this paper a scalar product for algebraic function fields over a number field is constructed which is the analogue of Weil’s scalar product. | Source: | arXiv, math.NT/9903195 | Services: | Forum | Review | PDF | Favorites |
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