The dilogarithm and the norm residue symbol

Robert F. Coleman

Bulletin de la Société Mathématique de France (1981)

  • Volume: 109, page 373-402
  • ISSN: 0037-9484

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Coleman, Robert F.. "The dilogarithm and the norm residue symbol." Bulletin de la Société Mathématique de France 109 (1981): 373-402. <http://eudml.org/doc/87401>.

@article{Coleman1981,
author = {Coleman, Robert F.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {dilogarithm; Hilbert norm residue symbol; cyclotomic extensions},
language = {eng},
pages = {373-402},
publisher = {Société mathématique de France},
title = {The dilogarithm and the norm residue symbol},
url = {http://eudml.org/doc/87401},
volume = {109},
year = {1981},
}

TY - JOUR
AU - Coleman, Robert F.
TI - The dilogarithm and the norm residue symbol
JO - Bulletin de la Société Mathématique de France
PY - 1981
PB - Société mathématique de France
VL - 109
SP - 373
EP - 402
LA - eng
KW - dilogarithm; Hilbert norm residue symbol; cyclotomic extensions
UR - http://eudml.org/doc/87401
ER -

References

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  1. [B1] BLOCH (S.). — Applications of the dilogarithm function in algebraic K-theory and algebraic geometry, Intl. Symp. on Algebraic Geometry, Kyoto, 1977, p. 103-114. Zbl0416.18016MR82f:14009
  2. [B2] BLOCH (S.). — Higher regulators, algebraic K-theory and zeta-functions of elliptic curves (preprint). BRUCKNER (H.). — Explizetes rezirozitätsgesetz und anwendangen, Vorlesuugen aus dem Fachbereich Mathematik der Universität Essen, 1979. 
  3. [C] COLEMAN (R.). — Division values in local fields, Inventiones math., t. 53, 1979, p. 91-116. Zbl0429.12010MR81g:12017
  4. [C1] COLEMAN (R.). — On the arithmetic of Lubin-Tate division towers (to appear). Zbl0475.12021
  5. [I] IWASAWA (K.). — Explicit formulas for the norm residue symbol, J. Math. Soc. Japan, 1968, p. 151-164. Zbl0256.12013MR37 #5183
  6. [S] SEN (S.). — On explicit reciprocity laws, Crelle Band, t. 313, 1980, p. 1-26. Zbl0411.12005MR81a:12018
  7. [T] THURSTEN (W.) . — The geometry and topology of three-manifolds, Princeton, Princeton University Press, 1980, Chapt. 7. 
  8. [V] VOSTOKOV, Izvestia number, t. 42, 1978, p. 6. MR80f:12014
  9. [W] WILES (A.). — Higher explicit reciprocity laws, Ann. of Math., t. 107, 1978, p. 235-254. Zbl0378.12006MR58 #605

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