Le théorème bien connu d’Ax et Katz donne une borne sur la
The well-known theorem of Ax and Katz gives a
Accepté le :
Publié le :
Mots-clés : Chevalley–Warning theorem, generic
Hui June Zhu 1

@article{JTNB_2017__29_1_137_0, author = {Hui June Zhu}, title = {On a theorem of {Ax} and {Katz}}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {137--150}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {29}, number = {1}, year = {2017}, doi = {10.5802/jtnb.972}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.972/} }
TY - JOUR AU - Hui June Zhu TI - On a theorem of Ax and Katz JO - Journal de théorie des nombres de Bordeaux PY - 2017 SP - 137 EP - 150 VL - 29 IS - 1 PB - Société Arithmétique de Bordeaux UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.972/ DO - 10.5802/jtnb.972 LA - en ID - JTNB_2017__29_1_137_0 ER -
Hui June Zhu. On a theorem of Ax and Katz. Journal de théorie des nombres de Bordeaux, Tome 29 (2017) no. 1, pp. 137-150. doi : 10.5802/jtnb.972. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.972/
[1]
[2] The collected papers of Emil Artin, Addison-Wesley Publishing Company, 1965, xvi+560 pages
[3] Zeros of polynomials over finite fields, Amer. J. Math., Volume 86 (1964), pp. 255-261 | DOI
[4] Démonstration d’une hypothèse de M. Artin, Abh. Math. Sem. Univ. Hamburg, Volume 11 (1935), pp. 73-75 | DOI
[5] On the rationality of the zeta function of an algebraic variety, Amer. J. Math., Volume 82 (1960), pp. 631-648 | DOI
[6] On a theorem of Ax, Amer. J. Math., Volume 93 (1971), pp. 485-499 | DOI
[7] Endomorphismes complètements continus des espaces de Banach
[8] An elementary proof of a theorem of Katz, Amer. J. Math., Volume 111 (1989), pp. 1-8 | DOI
[9] Bemerkung zur vorstehenden Arbeit von Herrn Chevalley, Abh. Math. Sem. Univ. Hamburg, Volume 11 (1935), pp. 76-83 | DOI
Cité par Sources :