Dedekind sums and power residue symbols

Robert Sczech

Compositio Mathematica (1986)

  • Volume: 59, Issue: 1, page 89-112
  • ISSN: 0010-437X

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Sczech, Robert. "Dedekind sums and power residue symbols." Compositio Mathematica 59.1 (1986): 89-112. <http://eudml.org/doc/89785>.

@article{Sczech1986,
author = {Sczech, Robert},
journal = {Compositio Mathematica},
keywords = {theta multiplier; elliptic function; power residue symbol; Dedekind sums; Hilbert class field},
language = {eng},
number = {1},
pages = {89-112},
publisher = {Martinus Nijhoff Publishers},
title = {Dedekind sums and power residue symbols},
url = {http://eudml.org/doc/89785},
volume = {59},
year = {1986},
}

TY - JOUR
AU - Sczech, Robert
TI - Dedekind sums and power residue symbols
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 59
IS - 1
SP - 89
EP - 112
LA - eng
KW - theta multiplier; elliptic function; power residue symbol; Dedekind sums; Hilbert class field
UR - http://eudml.org/doc/89785
ER -

References

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  2. [2] J.W.S. Cassels: A note on the division values of p(u). Proc. Cambr. Phil. Soc.45 (1949) 167-172. Zbl0032.26103MR28358
  3. [3] R.M. Damerell: L-functions of elliptic curves with complex multiplication I, II, Acta Arithm.17 (1970) 287-301; 19 (1971) 311-317. Zbl0229.12015MR285540
  4. [4] G. Harder: On the cohomology of SL(2, O). In: I.M. Gelfand (eds.), Lie groups and their representations. Budapest (1975). Zbl0395.57028MR425019
  5. [5] E. Hecke: Theorie der Eisensteinschen Reihen höherer Stufe und ihre Anwendung auf Funktionentheorie und Arithmetik. In: Mathematische Werke. Göttingen: Vandenhoeck & Ruprecht (1970). Zbl53.0345.02MR104550JFM53.0345.02
  6. [6] E. Hecke: Vorlesungen über die Theorie der algebraischen Zahlen. Chelsea, New York (1970). Zbl0208.06101MR352036
  7. [7] CH. Hermite: Sur quelques formules relatives a la transformation des fonctions elliptiques, Oeuvres I, Paris (1905). 
  8. [8] N. Krämer: Beiträge zur Arithmetik imaginärquadratischer Zahlkörper Dissertation, Bonn (1984). Zbl0564.10025MR806543
  9. [9] L. Kronecker: Die absolut kleinsten Reste reeller Grössen. MathematischeWerkeIII, p. 111-136. Chelsea, New York (1968). 
  10. [10] T. Kubota: Ein arithmetischer Satz über eine Matrizengruppe. Journal für Mathematik222 (1966) 55-57. Zbl0149.28602MR188194
  11. [11] R. Sczech: Dedekindsummen mit elliptischen Functionen. Invent. math.76 (1984) 523-551. Zbl0521.10021MR746541
  12. [12] R. Sczech: Zur Summation von L-Reihen. Bonner Mathematische Schriften141, Bonn (1982). Zbl0492.10035MR684841
  13. [13] R.G. Swan: Generators and relations for certain special linear groups.Advances in Math.6 (1971) 1-77. Zbl0221.20060MR284516
  14. [14] H. Weber: Algebra, Vol. III. Chelsea, New York. 

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