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On the complexity of Diophantine geometry in low dimensions (extended abstract). (English) Zbl 1345.68181

Vitter, Jeffrey Scott (ed.) et al., Proceedings of the 31st annual ACM symposium on theory of computing, STOC 1999. Atlanta, GA, USA, May 1–4, 1999. New York, NY: ACM, Association for Computing Machinery (ISBN 1-58113-067-8). 527-536 (1999).

MSC:

68Q25 Analysis of algorithms and problem complexity
11M26 Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses
11U05 Decidability (number-theoretic aspects)
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
14G40 Arithmetic varieties and schemes; Arakelov theory; heights
14G50 Applications to coding theory and cryptography of arithmetic geometry

References:

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