| Title:
|
Hilbert-symbol equivalence of global function fields (English) |
| Author:
|
Czogała, Alfred |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
51 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
393-401 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11E12 |
| MSC:
|
11E81 |
| MSC:
|
11R58 |
| idZBL:
|
Zbl 0987.11072 |
| idMR:
|
MR1864108 |
| . |
| Date available:
|
2009-09-25T11:53:48Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131966 |
| . |
| Reference:
|
[AT] ARTIN E.-TATE J.: Class Field Theory.W. A. Benjamin, Inc., New York-Amsterdam, 1968. Zbl 0176.33504, MR 0223335 |
| Reference:
|
[C] CARPENTER J.: Finiteness theorems for forms over global fields.Math. Z. 209 (1992), 153-166. Zbl 0724.11021, MR 1143220 |
| Reference:
|
[CF] CASSELS J. W.-FROHLICH A.: Algebraic Number Theory.Academic Press, London-New York, 1967. Zbl 0153.07403, MR 0215665 |
| Reference:
|
[CZ1] CZOGALA A.: On reciprocity equivalence of quadratic number fields.Acta Arith. 58 (1991), 365-387. Zbl 0733.11012, MR 1111088 |
| Reference:
|
[CZ2] CZOGALA A.: Higher degree tame Hilbert-symbol equivalence of number fields.Abh. Math. Sem. Univ. Hamburg 69 (1999), 175-185. Zbl 0968.11038, MR 1722930 |
| Reference:
|
[CS1] CZOGALA A.-SLADEK A.: Higher degree Hilbert-symbol equivalence of number fields.Tatra Mt. Math. Publ. 11 (1997), 77-88. Zbl 0978.11058, MR 1475507 |
| Reference:
|
[CS2] CZOGALA A.-SLADEK A.: Higher degree Hilbert symbol equivalence of number fields II.J. Number Theory 72 (1998), 363-376. MR 1651698 |
| Reference:
|
[LW] LEEP D. B.-WADSWORTH A. R.: The Hasse norm theorem mod squares.J. Number Theory 42 (1992), 337-348. MR 1189511 |
| Reference:
|
[OM] O'MEARA O. T.: Introduction to Quadratic Forms.Springer Verlag, Berlin, 1973. Zbl 0259.10018 |
| Reference:
|
[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. Zbl 0807.11024, MR 1260721 |
| Reference:
|
[S] SLADEK A.: Hilbert symbol equivalence and Milnor $K$-functor.Acta Math. Inform. Univ. Ostraviensis 6 (1998), 183-189. MR 1822529 |
| Reference:
|
[W] WEIL A.: Basic Number Theory.Springer-Verlag, Berlin, 1974. Zbl 0326.12001, MR 0427267 |
| . |
