Jacobi sums and explicit reciprocity laws

David E. Rohrlich

Compositio Mathematica (1986)

  • Volume: 60, Issue: 1, page 97-114
  • ISSN: 0010-437X

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Rohrlich, David E.. "Jacobi sums and explicit reciprocity laws." Compositio Mathematica 60.1 (1986): 97-114. <http://eudml.org/doc/89800>.

@article{Rohrlich1986,
author = {Rohrlich, David E.},
journal = {Compositio Mathematica},
keywords = {Hecke characters; Jacobian sums; local class field theory; explicit reciprocity law},
language = {eng},
number = {1},
pages = {97-114},
publisher = {Martinus Nijhoff Publishers},
title = {Jacobi sums and explicit reciprocity laws},
url = {http://eudml.org/doc/89800},
volume = {60},
year = {1986},
}

TY - JOUR
AU - Rohrlich, David E.
TI - Jacobi sums and explicit reciprocity laws
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 60
IS - 1
SP - 97
EP - 114
LA - eng
KW - Hecke characters; Jacobian sums; local class field theory; explicit reciprocity law
UR - http://eudml.org/doc/89800
ER -

References

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  1. [1] A. Artin and J. Tate: Class Field Theory. Benjamin (1967). Zbl0176.33504
  2. [2] H. Davenport and H. Hasse: Die Nullstellen der Krongruenzzetafunktionen in gewissen zyklischen Fällen. J. reine angew. Math., 172 (1934) 151-182. Zbl0010.33803JFM60.0913.01
  3. [3] H. Hasse: Zetafunktion und L-Funktionen zu einem arithmetischen Funktionenkörper vom Fermatschen Typus. Abhand. der Deut. Akad. der Wissen. zu Berlin (1955). Zbl0068.03501MR76807
  4. [4] K. Iwasawa: On explicit formulas for the norm residue symbol. J. Math. Soc. Japan, 20 (1968) 151-165. Zbl0256.12013MR229609
  5. [5] C. Jensen: Über die Führer einer Klasse Heckescher Grössencharaktere. Math. Scand., 8 (1960) 81-96. Zbl0204.07004MR125109
  6. [6] C.-G. Schmidt: Über die Führer von Gauss'schen Summen als Grössencharaktere. J. Number Theory, 12 (1980) 283-310. Zbl0446.12002MR586458
  7. [7] J.-P. Serre and J. Tate: Good reduction of abelian varieties. Ann. of Math., 88 (1968) 492-517. Zbl0172.46101MR236190
  8. [8] A. Weil: Number of solutions of equations in finite fields. Bull. AMS, 55 (1949) 497-508. Zbl0032.39402MR29393
  9. [9] A. Weil: Jacobi sums as Grössencharaktere. Trans. AMS, 73 (1952) 487-495. Zbl0048.27001MR51263

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