Geodesic
Hilbert-symbol equivalence of global function fields
Mathematica slovaca, Tome 51 (2001) no. 4, pp. 393-401
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11E12, 11E81, 11R58 
@article{MASLO_2001_51_4_a3,
     author = {Czoga{\l}a, Alfred},
     title = {Hilbert-symbol equivalence of global function fields},
     journal = {Mathematica slovaca},
     pages = {393--401},
     year = {2001},
     volume = {51},
     number = {4},
     mrnumber = {1864108},
     zbl = {0987.11072},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2001_51_4_a3/}
}
TY  - JOUR
AU  - Czogała, Alfred
TI  - Hilbert-symbol equivalence of global function fields
JO  - Mathematica slovaca
PY  - 2001
SP  - 393
EP  - 401
VL  - 51
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_2001_51_4_a3/
LA  - en
ID  - MASLO_2001_51_4_a3
ER  - 
%0 Journal Article
%A Czogała, Alfred
%T Hilbert-symbol equivalence of global function fields
%J Mathematica slovaca
%D 2001
%P 393-401
%V 51
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_2001_51_4_a3/
%G en
%F MASLO_2001_51_4_a3
Czogała, Alfred. Hilbert-symbol equivalence of global function fields. Mathematica slovaca, Tome 51 (2001) no. 4, pp. 393-401. http://geodesic.mathdoc.fr/item/MASLO_2001_51_4_a3/

[AT] ARTIN E.-TATE J.: Class Field Theory. W. A. Benjamin, Inc., New York-Amsterdam, 1968. | MR | Zbl

[C] CARPENTER J.: Finiteness theorems for forms over global fields. Math. Z. 209 (1992), 153-166. | MR | Zbl

[CF] CASSELS J. W.-FROHLICH A.: Algebraic Number Theory. Academic Press, London-New York, 1967. | MR | Zbl

[CZ1] CZOGALA A.: On reciprocity equivalence of quadratic number fields. Acta Arith. 58 (1991), 365-387. | MR | Zbl

[CZ2] CZOGALA A.: Higher degree tame Hilbert-symbol equivalence of number fields. Abh. Math. Sem. Univ. Hamburg 69 (1999), 175-185. | MR | Zbl

[CS1] CZOGALA A.-SLADEK A.: Higher degree Hilbert-symbol equivalence of number fields. Tatra Mt. Math. Publ. 11 (1997), 77-88. | MR | Zbl

[CS2] CZOGALA A.-SLADEK A.: Higher degree Hilbert symbol equivalence of number fields II. J. Number Theory 72 (1998), 363-376. | MR

[LW] LEEP D. B.-WADSWORTH A. R.: The Hasse norm theorem mod squares. J. Number Theory 42 (1992), 337-348. | MR

[OM] O'MEARA O. T.: Introduction to Quadratic Forms. Springer Verlag, Berlin, 1973. | Zbl

[PSCL] PERLIS R.-SZYMICZEK K.-CONNER P.-LITHERLAND R.: Matching Witts with global fields. In: Contemp. Math. 155, Amer. Math. Soc, Providence, RI, 1994, pp. 365-387. | MR | Zbl

[S] SLADEK A.: Hilbert symbol equivalence and Milnor $K$-functor. Acta Math. Inform. Univ. Ostraviensis 6 (1998), 183-189. | MR

[W] WEIL A.: Basic Number Theory. Springer-Verlag, Berlin, 1974. | MR | Zbl