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The explicit reciprocity law in local class field theory

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Publication:1078613
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DOI10.1215/S0012-7094-86-05311-1zbMath0597.12018WikidataQ114846384 ScholiaQ114846384MaRDI QIDQ1078613

Ehud de Shalit

Publication date: 1986

Published in: Duke Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

explicit reciprocity lawlocal class field theorynorm residue symbol on Lubin-Tate groups


Mathematics Subject Classification ID

Formal groups, (p)-divisible groups (14L05) Class field theory; (p)-adic formal groups (11S31)


Related Items (3)

Explicit local reciprocity for tame extensions ⋮ Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication ⋮ The norm residue symbol for higher local fields



Cites Work

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  • Division values in local fields
  • The arithmetic of Lubin-Tate division towers
  • Higher explicit reciprocity laws
  • On explicit formulas for the norm residue symbol
  • Relative Lubin-Tate Groups
  • On explicit reciprocity laws. II.
  • The dilogarithm and the norm residue symbol
  • On explicit reciprocity laws.


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