Numbers of solutions of equations in finite fields
Author:
André Weil
Journal:
Bull. Amer. Math. Soc. 55 (1949), 497-508
DOI:
https://doi.org/10.1090/S0002-9904-1949-09219-4
MathSciNet review:
0029393
Full-text PDF Free Access
References | Additional Information
- 1. C. F. Gauss, Werke: (a) vol. I, pp. 445-449; (b) vol. II, pp. 67-92; (c) vol. X1, p. 571.
- 2. C. G. Jacobi, Gesammelte Werke: (a) vol. VII, pp. 393-400; (b) vol. VI, pp. 254-274.
- 3. V. A. Lebesgue: (a) J. Math. Pures Appl. vol. 2 (1837) pp. 253-292; (b) J. Math. Pures Appl. vol. 3 (1838) pp. 113-144.
- 4. G. H. Hardy and J. E. Littlewood, Some problems of ‘Partitio Numerorum’: IV. The singular series in Waring’s Problem and the value of the number 𝐺(𝑘), Math. Z. 12 (1922), no. 1, 161–188. MR 1544511, https://doi.org/10.1007/BF01482074
- 5. H. Davenport and H. Hasse, J. Reine Angew. Math. vol. 172 (1935) pp. 151-182.
- 6. L. K. Hua and H. S. Vandiver, On the existence of solutions of certain equations in a finite field, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 258–263. MR 25487, https://doi.org/10.1073/pnas.34.6.258
- 7. L. Stickelberger, Ueber eine Verallgemeinerung der Kreistheilung, Math. Ann. 37 (1890), no. 3, 321–367 (German). MR 1510649, https://doi.org/10.1007/BF01721360
- 8. Charles Ehresmann, Sur la topologie de certains espaces homogènes, Ann. of Math. (2) 35 (1934), no. 2, 396–443 (French). MR 1503170, https://doi.org/10.2307/1968440
Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1949-09219-4
