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Found 81 Documents (Results 1–81)

100
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Calculating the power residue symbol and ibeta. Applications of computing the group structure of the principal units of a \(\mathfrak{p}\)-adic number field completion. (English) Zbl 1472.11317

Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25–28, 2017. New York, NY: Association for Computing Machinery (ACM). 117-124 (2017).
MSC:  11Y16 11Y40 68W30
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Developments in the theory of algebras over number fields: a new foundation for the Hasse norm residue symbol and new approaches to both the Artin reciprocity law and class field theory. (English) Zbl 1151.01009

Gray, Jeremy J. (ed.) et al., Episodes in the history of modern algebra (1800–1950). Based on a workshop held at MSRI, Berkeley, CA, USA, April 2003. Providence, RI: American Mathematical Society (AMS); London: London Mathematical Society (ISBN 978-0-8218-4343-7/hbk). History of Mathematics 32, 117-151 (2007).
MSC:  01A55 01A60 11-03
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Galois cohomology of Henselian discrete valuation fields, after K. Kato and S. Bloch. (Cohomologie galoisienne des corps valués discrets henseliens, d’après K. Kato et S. Bloch.) (French) Zbl 0976.11053

Bass, H. (ed.) et al., Algebraic \(K\)-theory and its applications. Proceedings of the workshop and symposium, ICTP, Trieste, Italy, September 1-19, 1997. Singapore: World Scientific. 120-163 (1999).
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Some explicit calculations in local and global cyclotomic fields. (English. Russian original) Zbl 0877.11055

Proc. Steklov Inst. Math. 208, 179-197 (1995); translation from Tr. Mat. Inst. Steklova 208, 202-222 (1995).
MSC:  11R23 11S25
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Explicit construction of class field theory for a multidimensional local field. (English. Russian original) Zbl 0608.12017

Math. USSR, Izv. 26, 263-287 (1986); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 49, No. 2, 283-308 (1985).
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