On norm residue symbols and conductors

DOI10.1006/jnth.2000.2560zbMath0970.11042OpenAlexW2031157157MaRDI QIDQ5929403

Romyar T. Sharifi

Publication date: 13 October 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/eb06126a887dee07873d9296f84cc961ea145387

zbMATH Keywords

local fieldsconductorsHilbert symbolnorm residue symbols

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Algebraic number theory: local fields (11S99)

Related Items

Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction ⋮ Root numbers for the Jacobian varieties of Fermat curves

Cites Work

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• On the conductor of 2-adic Hilbert norm residue symbols
• On the calculation of certain Hilbert norm residue symbols and its application
• Ramification groups of nonabelian Kummer extensions
• Jacobi sums and the Hilbert symbol for a power of two
• On explicit formulas for the norm residue symbol
• The dilogarithm and the norm residue symbol