An elementary proof of the Davenport-Hasse relation

Stanislav Jakubec

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 2, page 175-178
  • ISSN: 0139-9918

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Jakubec, Stanislav. "An elementary proof of the Davenport-Hasse relation." Mathematica Slovaca 51.2 (2001): 175-178. <http://eudml.org/doc/34535>.

@article{Jakubec2001,
author = {Jakubec, Stanislav},
journal = {Mathematica Slovaca},
keywords = {Gauss sum; Gauss period},
language = {eng},
number = {2},
pages = {175-178},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {An elementary proof of the Davenport-Hasse relation},
url = {http://eudml.org/doc/34535},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Jakubec, Stanislav
TI - An elementary proof of the Davenport-Hasse relation
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 2
SP - 175
EP - 178
LA - eng
KW - Gauss sum; Gauss period
UR - http://eudml.org/doc/34535
ER -

References

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  1. BERNDT B. C.-EVANS R. J., Sums of Gauss, Eisenstein, Jacobi, Jacobsthal and Brewer, Illinois. J. Math. 23 (1979), 374-437. (1979) Zbl0393.12029MR0537798
  2. DAVENPORT H.-HASSE H., Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fallen, J. Reine Angew. Math. 172 (1934), 151-182. (1934) 
  3. HASSE H., Vorlesungen über Zahlentheorie, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1950. (1950) Zbl0038.17703MR0051844
  4. JAKUBEC S., Note on the congruence of Ankeny-Artin-Chowla type modulo p2, Acta Arith. 85 (1998), 377-388. (1998) MR1641062

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