Computer-aided serendipity
Rendiconti del Seminario Matematico della Università di Padova, Tome 93 (1995), pp. 187-197.

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Cassels, J. W. S. Computer-aided serendipity. Rendiconti del Seminario Matematico della Università di Padova, Tome 93 (1995), pp. 187-197. http://geodesic.mathdoc.fr/item/RSMUP_1995__93__187_0/

Birch, B.J. - H.P.F. Swinnerton-Dyer, Notes on elliptic curves, I, II, J. Reine Angew. Math., 212 (1965), pp. 7-25; 218 (1965), pp. 79-108. | Zbl | MR

Bremner, A., Some cubic surfaces with no rational points, Math. Proc. Cambridge Philos. Soc., 84 (1978), pp. 219-223. | Zbl | MR

Bremner, A., On the equation Y2 = X(X2 + p), in Number Theory and its Applications (ed. R. A. MOLLIN), pp. 3-22, NATO ASI Series, 265C (1988) (Kluwer). | Zbl | MR

Bremner, A. - D. A. BUELL, Three points of great height on elliptic curves, Math. Comp., 61 (1993), pp. 111-115. | Zbl | MR

Bremner, A. - J.W.S. Cassels, On the equation Y2 = X(X2 + p), Math. Comp., 42 (1984), pp. 257-264. | Zbl | MR

Buchstab, A.A., Sur la décomposition des nombres pairs en somme de deux composants dont chacune est formée d'un nombre borné de facteurs premiers, Comptes Rendus (Doklady) Acad. Sci. URSS, 29 (1940), pp. 544-548. | MR | JFM

Cassels, J. W. S., Arithmetic on curves of genus 1, IV Proof of the Hauptvermutung, J. Reine Angew. Math., 211 (1962), pp. 95-112. | Zbl | MR

Cassels, J. W. S., Mordell's finite basis theorem revisited, Math. Proc. Cambridge Philos. Soc., 100 (1986), pp. 31-41. | Zbl | MR

Cassels, J.W.S., Lectures on elliptic curves. London Mathematical Society Student Texts, 24 (1991) (corrected reprint, 1992). | Zbl | MR

Cassels, J.W.S., Factorization of polynomials in several variables, Proceedings of the 15th Scandinavian Congress, Oslo 1968, pp. 3-17, Lecture Notes in Mathematics, 118 (Springer). | Zbl | MR

Cassels, J.W.S. - M. J. T. Guy, On the Hasse principle for cubic surfaces, Mathematika, 13 (1966), pp. 111-120. | Zbl | MR

Colliot-Thelene, J.-L. - D. KANEVSKY - J.-J. SANSUC, Arithmétique des surfaces cubiques diagonales, Lecture Notes in Mathematics, 1290 (1987), pp. 1-108. | Zbl | MR

Davenport, H. - D. J. LEWIS - A. SCHINZEL, Equations of the form f (x) = g(y), Quarterly Journal (Oxford), 12 (1961), pp. 304-312. | Zbl | MR

Feit, W., Some consequences of the classification of finite simple groups, Proc. Symposia Pure Math., 27 (1980), pp. 175-181. (American Math. Soc.) | Zbl | MR

Heath-Brown, D.R. - S. J. PATTERSON, The distribution of Kummer sums at prime arguments, J. Reine Angew. Math., 310 (1979), pp. 111-130. | Zbl | MR

Manin, Yu V., Cubic Forms: Algebra, Geometry, Arithmetic, Translated from the Russian by M. HAZEWINKEL, North-Holland (1974). | Zbl | MR

Milne, J.S., Arithmetic Duality Theorems, Perspectives in Mathematics, 1 (1986) (Academic Press). | Zbl | MR

Selmer, E.S., A conjecture concerning rational points on cubic curves, Math. Scand., 3 (1954), pp. 49-54. | Zbl | MR

Tate, J., Duality theorems in Galois cohomology over number fields, Proc. Intern Congress Math., Stockholm (1962), pp. 234-241. | Zbl | MR

Von Neumann, J. - H.H. Goldstine, A numerical study of a conjecture of Kummer, Math. Tables Aids Comp., 7 (1953), pp. 133-134. | Zbl | MR