Dedekind sums and power residue symbols
Compositio Mathematica, Tome 59 (1986) no. 1, pp. 89-112. 
@article{CM_1986__59_1_89_0,
     author = {Sczech, Robert},
     title = {Dedekind sums and power residue symbols},
     journal = {Compositio Mathematica},
     pages = {89--112},
     publisher = {Martinus Nijhoff Publishers},
     volume = {59},
     number = {1},
     year = {1986},
     mrnumber = {850124},
     zbl = {0604.10010},
     language = {en},
     url = {http://www.numdam.org/item/CM_1986__59_1_89_0/}
}
TY  - JOUR
AU  - Sczech, Robert
TI  - Dedekind sums and power residue symbols
JO  - Compositio Mathematica
PY  - 1986
SP  - 89
EP  - 112
VL  - 59
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://www.numdam.org/item/CM_1986__59_1_89_0/
LA  - en
ID  - CM_1986__59_1_89_0
ER  - 
%0 Journal Article
%A Sczech, Robert
%T Dedekind sums and power residue symbols
%J Compositio Mathematica
%D 1986
%P 89-112
%V 59
%N 1
%I Martinus Nijhoff Publishers
%U http://www.numdam.org/item/CM_1986__59_1_89_0/
%G en
%F CM_1986__59_1_89_0
Sczech, Robert. Dedekind sums and power residue symbols. Compositio Mathematica, Tome 59 (1986) no. 1, pp. 89-112. http://www.numdam.org/item/CM_1986__59_1_89_0/

[1] B.J. Birch: Webers class invariants. Mathematika 16 (1969) 283-294. | MR | Zbl

[2] J.W.S. Cassels: A note on the division values of p(u). Proc. Cambr. Phil. Soc. 45 (1949) 167-172. | MR | Zbl

[3] R.M. Damerell: L-functions of elliptic curves with complex multiplication I, II, Acta Arithm. 17 (1970) 287-301; 19 (1971) 311-317. | EuDML | MR | Zbl

[4] G. Harder: On the cohomology of SL(2, O). In: I.M. Gelfand (eds.), Lie groups and their representations. Budapest (1975). | MR | Zbl

[5] E. Hecke: Theorie der Eisensteinschen Reihen höherer Stufe und ihre Anwendung auf Funktionentheorie und Arithmetik. In: Mathematische Werke. Göttingen: Vandenhoeck & Ruprecht (1970). | JFM | MR

[6] E. Hecke: Vorlesungen über die Theorie der algebraischen Zahlen. Chelsea, New York (1970). | MR | Zbl

[7] Ch. Hermite: Sur quelques formules relatives a la transformation des fonctions elliptiques, Oeuvres I, Paris (1905).

[8] N. Krämer: Beiträge zur Arithmetik imaginärquadratischer Zahlkörper Dissertation, Bonn (1984). | MR | Zbl

[9] L. Kronecker: Die absolut kleinsten Reste reeller Grössen. Mathematische Werke III, p. 111-136. Chelsea, New York (1968).

[10] T. Kubota: Ein arithmetischer Satz über eine Matrizengruppe. Journal für Mathematik 222 (1966) 55-57. | MR | Zbl

[11] R. Sczech: Dedekindsummen mit elliptischen Functionen. Invent. math. 76 (1984) 523-551. | MR | Zbl

[12] R. Sczech: Zur Summation von L-Reihen. Bonner Mathematische Schriften 141, Bonn (1982). | MR | Zbl

[13] R.G. Swan: Generators and relations for certain special linear groups.Advances in Math. 6 (1971) 1-77. | MR | Zbl

[14] H. Weber: Algebra, Vol. III. Chelsea, New York.