The number of points on certain families of hypersurfaces over finite fields
Compositio Mathematica, Tome 48 (1983) no. 1, pp. 3-23. 
@article{CM_1983__48_1_3_0,
     author = {Koblitz, Neal},
     title = {The number of points on certain families of hypersurfaces over finite fields},
     journal = {Compositio Mathematica},
     pages = {3--23},
     publisher = {Martinus Nijhoff Publishers},
     volume = {48},
     number = {1},
     year = {1983},
     mrnumber = {700577},
     zbl = {0509.14023},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1983__48_1_3_0/}
}
TY  - JOUR
AU  - Koblitz, Neal
TI  - The number of points on certain families of hypersurfaces over finite fields
JO  - Compositio Mathematica
PY  - 1983
SP  - 3
EP  - 23
VL  - 48
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1983__48_1_3_0/
LA  - en
ID  - CM_1983__48_1_3_0
ER  - 
%0 Journal Article
%A Koblitz, Neal
%T The number of points on certain families of hypersurfaces over finite fields
%J Compositio Mathematica
%D 1983
%P 3-23
%V 48
%N 1
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1983__48_1_3_0/
%G en
%F CM_1983__48_1_3_0
Koblitz, Neal. The number of points on certain families of hypersurfaces over finite fields. Compositio Mathematica, Tome 48 (1983) no. 1, pp. 3-23. http://archive.numdam.org/item/CM_1983__48_1_3_0/

[1] P. Appell and J. Kampé De Fériet: Fonctions hypergéométriques et hyper-sphériques; polynomes d'Hermite. Gauthier-Villars, Paris, 1926.

[2] H. Davenport and H. Hasse: Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen. J. Reine Angew. Math. 172 (1935) 151-182. | JFM | Zbl

[3] J. Delsarte: Nombre de solutions des equations polynomiales sur un corps fini. Sém. Bourbaki 39-01(Mars 1951). | Numdam

[4] B. Dwork: On p-adic analysis. Proc. Annual Sci. Conf., Belfer Grad. School Sci., Yeshiva Univ., New York, 1965-66, pp 129-154. | MR

[5] A. Erdélyi: Integraldarstellungen hypergeometrischer Funktionen. Quar. J. Math. 8 (1937) 267-277. | JFM | Zbl

[6] E. Furtado Gomida: On the theorem of Artin-Weil. Bol. Soc. Mat. São Paulo 4 (1949, 1951) 1-18. | MR

[7] K. Ireland and M. Rosen: Elements of number theory including an introduction to equations over finite fields. Bogden & Quigley Inc., Tarrytown-on-Hudson, N.Y., 1972. | MR | Zbl

[8] N. Katz: Algebraic solutions of differential equations (p-curvature and the Hodge filtration). Inventiones Math. 18 (1972) 1-118. | MR | Zbl

[9] N. Koblitz: p-adic analysis: a short course on recent work. Cambridge Univ. Press, 1980. | MR | Zbl

[10] E. Rainville: Special functions. Macmillan, New York, 1960. | MR | Zbl

[11] A. Weil: Numbers of solutions of equations in finite fields. Bull. A.M.S. 55 (1949) 497-508. | MR | Zbl

[12] G.N. Watson and E.T. Whittaker: A course of modern analysis, 4th ed. Cambridge Univ. Press, Cambridge, 1927. | JFM | MR