Numbers of solutions of equations in finite fields

Bulletin of the American Mathematical Society - Tập 55 Số 5 - Trang 497-508
André Weil

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Tài liệu tham khảo

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.

Hardy, G. H., 1922, Some problems of ‘Partitio Numerorum’: IV. The singular series in Waring’s Problem and the value of the number 𝐺(𝑘), Math. Z., 12, 161, 10.1007/BF01482074

5. H. Davenport and H. Hasse, J. Reine Angew. Math. vol. 172 (1935) pp. 151-182.

Hua, L. K., 1948, On the existence of solutions of certain equations in a finite field, Proc. Nat. Acad. Sci. U.S.A., 34, 258, 10.1073/pnas.34.6.258

Stickelberger, L., 1890, Ueber eine Verallgemeinerung der Kreistheilung, Math. Ann., 37, 321, 10.1007/BF01721360

Ehresmann, Charles, 1934, Sur la topologie de certains espaces homogènes, Ann. of Math. (2), 35, 396, 10.2307/1968440