ON THE NORM-RESIDUE SYMBOL IN THE THEORY OF CYCLOTOMIC FIELDS

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.16.11.740 ◽

1930 ◽

Vol 16 (11) ◽

pp. 740-743

Author(s):

H. S. Vandiver

Keyword(s):

Cyclotomic Fields ◽

Residue Symbol ◽

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ON EXPLICIT FORMULAS FOR THE NORM RESIDUE SYMBOL IN PRIME CYCLOTOMIC FIELDS

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.38.203 ◽

1984 ◽

Vol 38 (2) ◽

pp. 203-231 ◽

Author(s):

Katsumi SHIRATANI ◽

Makoto ISHIBASHI

Keyword(s):

Cyclotomic Fields ◽

Explicit Formulas ◽

Residue Symbol ◽

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The norm residue symbol for Higher Local Fields

Journal of Number Theory ◽

10.1016/j.jnt.2021.06.031 ◽

2021 ◽

Author(s):

Jorge Flórez

Keyword(s):

Local Fields ◽

Residue Symbol ◽

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The norm residue symbol

Algebraic Numbers and Algebraic Functions ◽

10.1090/chel/358/08 ◽

2006 ◽

pp. 144-164

Keyword(s):

Residue Symbol ◽

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On properties of the n-dimensional norm residue symbol in higher local class field theory

Journal of Pure and Applied Algebra ◽

10.1016/0022-4049(95)00161-1 ◽

1996 ◽

Vol 108 (1) ◽

pp. 1-6 ◽

Author(s):

Robert A. Bell

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Residue Symbol ◽

Norm Residue ◽

Local Class Field Theory

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THE NORM RESIDUE SYMBOL IN LOCAL FIELDS

Russian Mathematical Surveys ◽

10.1070/rm1978v033n06abeh003873 ◽

1978 ◽

Vol 33 (6) ◽

pp. 239-240 ◽

Author(s):

V A Kolyvagin

Keyword(s):

Local Fields ◽

Residue Symbol ◽

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An explicit local norm residue symbol

Journal of Number Theory ◽

10.1016/0022-314x(70)90014-4 ◽

1970 ◽

Vol 2 (2) ◽

pp. 143-151

Author(s):

L Geissinger ◽

W Graves

Keyword(s):

Residue Symbol ◽

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The dilogarithm and the norm residue symbol

Bulletin de la Société mathématique de France ◽

10.24033/bsmf.1946 ◽

1981 ◽

Vol 79 ◽

pp. 373-402 ◽

Author(s):

Robert F. Coleman

Keyword(s):

Residue Symbol ◽

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On explicit formulas for the norm residue symbol

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/02010151 ◽

1968 ◽

Vol 20 (1-2) ◽

pp. 151-165 ◽

Author(s):

Kenkichi IWASAWA

Keyword(s):

Explicit Formulas ◽

Residue Symbol ◽

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FORMAL GROUPS AND THE NORM RESIDUE SYMBOL

Mathematics of the USSR-Izvestiya ◽

10.1070/im1980v015n02abeh001239 ◽

1980 ◽

Vol 15 (2) ◽

pp. 289-348 ◽

Author(s):

V A Kolyvagin

Keyword(s):

Formal Groups ◽

Residue Symbol ◽

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An application of the generalized norm residue symbol

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1959-0143748-5 ◽

1959 ◽

Vol 10 (2) ◽

pp. 245-245 ◽

Author(s):

Katsuhiko Masuda

Keyword(s):

Residue Symbol ◽

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