Hilbert-symbol equivalence of global function fields

Alfred Czogała

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 4, page 393-401
  • ISSN: 0139-9918

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Czogała, Alfred. "Hilbert-symbol equivalence of global function fields." Mathematica Slovaca 51.4 (2001): 393-401. <http://eudml.org/doc/32230>.

@article{Czogała2001,
author = {Czogała, Alfred},
journal = {Mathematica Slovaca},
keywords = {global functions fields; Hilbert-symbol equivalence},
language = {eng},
number = {4},
pages = {393-401},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Hilbert-symbol equivalence of global function fields},
url = {http://eudml.org/doc/32230},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Czogała, Alfred
TI - Hilbert-symbol equivalence of global function fields
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 4
SP - 393
EP - 401
LA - eng
KW - global functions fields; Hilbert-symbol equivalence
UR - http://eudml.org/doc/32230
ER -

References

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  1. ARTIN E.-TATE J., Class Field Theory, W. A. Benjamin, Inc., New York-Amsterdam, 1968. (1968) Zbl0176.33504MR0223335
  2. CARPENTER J., Finiteness theorems for forms over global fields, Math. Z. 209 (1992), 153-166. (1992) Zbl0724.11021MR1143220
  3. CASSELS J. W.-FROHLICH A., Algebraic Number Theory, Academic Press, London-New York, 1967. (1967) Zbl0153.07403MR0215665
  4. CZOGALA A., On reciprocity equivalence of quadratic number fields, Acta Arith. 58 (1991), 365-387. (1991) Zbl0733.11012MR1111088
  5. CZOGALA A., Higher degree tame Hilbert-symbol equivalence of number fields, Abh. Math. Sem. Univ. Hamburg 69 (1999), 175-185. (1999) Zbl0968.11038MR1722930
  6. CZOGALA A.-SLADEK A., Higher degree Hilbert-symbol equivalence of number fields, Tatra Mt. Math. Publ. 11 (1997), 77-88. (1997) Zbl0978.11058MR1475507
  7. CZOGALA A.-SLADEK A., Higher degree Hilbert symbol equivalence of number fields II, J. Number Theory 72 (1998), 363-376. (1998) MR1651698
  8. LEEP D. B.-WADSWORTH A. R., The Hasse norm theorem mod squares, J. Number Theory 42 (1992), 337-348. (1992) MR1189511
  9. O'MEARA O. T., Introduction to Quadratic Forms, Springer Verlag, Berlin, 1973. (1973) Zbl0259.10018
  10. 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. (1994) Zbl0807.11024MR1260721
  11. SLADEK A., Hilbert symbol equivalence and Milnor K -functor, Acta Math. Inform. Univ. Ostraviensis 6 (1998), 183-189. (1998) MR1822529
  12. WEIL A., Basic Number Theory, Springer-Verlag, Berlin, 1974. (1974) Zbl0326.12001MR0427267

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