@article{GAU_1986-1987__14__A10_0,
author = {Deshommes, Bernadette},
title = {Sur les z\'eros des fonctions sym\'etriques compl\`etes (cas cubique)},
journal = {Groupe d'\'etude d'analyse ultram\'etrique},
note = {talk:18},
pages = {1--15},
year = {1986-1987},
publisher = {Secr\'etariat math\'ematique},
volume = {14},
language = {fr},
url = {https://www.numdam.org/item/GAU_1986-1987__14__A10_0/}
}
TY - JOUR AU - Deshommes, Bernadette TI - Sur les zéros des fonctions symétriques complètes (cas cubique) JO - Groupe d'étude d'analyse ultramétrique N1 - talk:18 PY - 1986-1987 SP - 1 EP - 15 VL - 14 PB - Secrétariat mathématique UR - https://www.numdam.org/item/GAU_1986-1987__14__A10_0/ LA - fr ID - GAU_1986-1987__14__A10_0 ER -
%0 Journal Article %A Deshommes, Bernadette %T Sur les zéros des fonctions symétriques complètes (cas cubique) %J Groupe d'étude d'analyse ultramétrique %Z talk:18 %D 1986-1987 %P 1-15 %V 14 %I Secrétariat mathématique %U https://www.numdam.org/item/GAU_1986-1987__14__A10_0/ %G fr %F GAU_1986-1987__14__A10_0
Deshommes, Bernadette. Sur les zéros des fonctions symétriques complètes (cas cubique). Groupe d'étude d'analyse ultramétrique, Tome 14 (1986-1987), Exposé no. 18, 15 p.. https://www.numdam.org/item/GAU_1986-1987__14__A10_0/
[1] , A table of complex cubic fields, Bull. London Math. Soc. 5 (1973), 37-38. | Zbl | MR
[2] , On the calculation of the units of algebraic number fields, Nagoya Math. J. 101 (1986), 181-185. | Zbl | MR
[3] l, Notes on recurring series of the third order, Tôhoku Math. J. 24 (1924), 168-184. | JFM
[4] et , Deux propriétés décidables des suites récurrentes Linéaires, Bull. Soc. Math. France 104 (1976), 175-184. | Zbl | MR | Numdam
[5] , The multiplicity of binary recurrences, Comp. Math. 40 (1980), 251-267. | Zbl | MR | Numdam
[6] and , On the multiplicities of binary complex recurrences, Comp. Math. 51 (1984), 193-213. | Zbl | MR | Numdam
[7] , Sur un théorème de Pólya, J. Reine Angew. Math. 364 (1986), 60-68. | Zbl | MR
[8] and , On Thue's equation, Invent. Math. 88 (1) (1987), 69-82. | Zbl | MR
[9] et , Théorie des Nombres, Gauthier-Villars, Paris, 1967. | Zbl | MR
[10] , On sequences of integers defined by recurrence relations, Quaterly J. Math. 48 (1920), 343-372.
[11] -----, On the numerical factors of the arithmetic forms αn ± βn, Annals of Math. series 2, 15 (1913), 30-70. | JFM
[12] , Local fields, London Math. Soc. Stud. Texts 3, Cambridge Univ. Press, 1986. | Zbl | MR
[13] , et , Suites récurrentes linéaires. Propriétés algébriques et arithmétiques, L'Enseignement Mathématique 33 (1987), 67-108. | Zbl | MR
[14] and , The theory of irrationalities of the third degree, Transl. Math. Mono., vol.10, A.M.S., 1964. | Zbl | MR
[15] , Sur les zéros des fonctions symétriques complètes (cas cubique) (1987), preprint.
[16] , Une suite récurrente remarquable, Sémin. Delange-Pisot-Poitou 1977/78, Paris, Exp. 27, 12pp. | Zbl | MR | Numdam
[17] , , and , On S-unit equations in two unknowns (1987), preprint. | MR
[18] and , On a theorem of Delaunay and some related results, Pacific J. Math. 68 (2) (1977), 399-409. | Zbl | MR
[19] , Notes on the Diophantine equation y2-k = x3, Arkiv för Mat. 3 (3) (1954), 67-77. | Zbl | MR
[20] , On a conjecture of Morgan Ward I, II, III, Acta Arith. 33 (1977), 11-28, 29-48, 99-109. | Zbl | MR
[21] , Suites récurrentes linéaires, Advances in Applied Math. (1986), 1-8. | Zbl | MR
[22] , Equations exponentielles polynômes et suites récurrentes linéaires, Soc. Math. de France, Astérisque 147-148 (1987), 121-139. | Zbl | MR | Numdam
[23] and , Repetitiveness in binary recurrences, J. Reine Angew. Math. 356 (1985), 19-48. | Zbl | MR
[24] , Symmetric functions and Hall polynomials, Oxford Math. Mono., 1979. | Zbl | MR
[25] , On the Taylor coefficients of rational functions, Proc. Cambridge Phil. Soc. 52 (1956), 39-48. | Zbl | MR
[28] , Suites récurrentes linéaires, Sémin. Delange-Pisot-Poitou 1973/74, Paris, Exp. G 14, 9pp. | Zbl | Numdam
[27] -----, Détermination des répétitions d'une certaine suite récurrente linéaire, Publicationes Mathematicae 33 (Debrecen, 1986), 297-306. | Zbl | MR
[28] , and , The distance between terms of an algebraic recurrence sequence, J. Reine Angew Math. 349 (1984), 63-76. | Zbl | MR
[29] , Diophantine equations, Academic Press, London, 1969. | Zbl | MR
[30] , L'analyse indéterminée de degré supérieur, Mémorial Sc. Math., vol.39, Gauthier-Villars, Paris, 1929. | JFM | Numdam
[31] , Sur les termes nuls d'une suite récurrente cubique, Rairo R-3, (1974), 47-61. | Zbl | MR | Numdam
[32] -----, Sur certaines suites récurrentes cubiques ayant deux ou trois termes nuls, Discrete Math. 21 (1978), 285-296. | Zbl | MR
[33] , Some problems of recurrent interest, Topics in classical number theory, vol. I, I I (Budapest, 1981), 1265-1294, Coll. Math. Soc. János Bolyai, 34, North. Holland, Amsterdam-New York, 1984. | Zbl | MR
[34] , Nombre de zéros des fonctions exponentielles-polynômes, Groupe d'étude d'Analyse ultramétrique, 4eannée, 1976/77, n 9, 3p. | Zbl | Numdam
[35] -----, Zéros des suites récurrentes linéaires, Groupe d'étude d'Analyse ultramétrique, 5eannée, 1977/78, n° 13, 5p. | Zbl | Numdam
[36] , On units of certain cubic fields and the diophantine equation x3+y3+z3 = 3, Proc. Amer. Math. Soc. 91 (1984), 351-356. | Zbl | MR
[37] , On the number of zeros of a cubic recurrence, Amer. Math. Monthly 67 (1960), 169-170. | Zbl | MR
[38] , A survey of quadratic, cubic and quartic algebraic number fields, Proc. 7th S-E Conf. Combinatorics, Graph Theory, and Computing, Louisiana State Univ. Baton Rouge, (february 1976), 15-40. | Zbl | MR
[39] and , Exponential diophantine equations, Cambridge Tracts in Math. 87, Cambridge Univ. Press, 1986. | Zbl | MR
[40] , Integer points and the rank of Thue elliptic curves, Invent. Math. 66 (1982), 395-404. | Zbl | MR
[41] , Calculs effectifs sur les idéaux des corps de nombres algébriques, Marseille-Luminy (mars 1976).
[42] , On the zeros of a cubic recurrence, Amer. Math. Monthly 63 (1956), 171-172. | Zbl | MR
[43] , Multiplicities of binary recurrences, Sémin. Théor. Nombres, Univ. Bordeaux I, 1980/1981, Exp. 29, 11pp. | Zbl | MR
[44] , Occurrence of zero in a linear recursive sequence, Mat. Zametki vol. 38 (2) (1985), 177-189. | Zbl | MR
[45] -----, Effective upper bounds for the number of zeros of a linear recursive sequence, Vestnik Moskov. Univ. Mat. vol.41 (1) (1986), 33-38. | Zbl
[46] , Notes on an arithmetical property of recurring series, Math. Zeitschrift 39 (1934), 212-214. | Zbl | JFM
[47] -----, On the number of vanishing terms in an integral cubic recurrence, Amer. Math. Monthly 62 (1955), 155-160. | Zbl | MR
[48] -----, The vanishing of the homogeneous product sum of the roots of a cubic, Duke Math. J. 26 (1959), 553-562. | Zbl | MR
[49] -----, The vanishing of the homogeneous product sum on three letters, Duke Math. J. 27 (1960), 619-624. | Zbl | MR
[50] -----, Some Diophantine problems connected with linear recurrences, Report Institute Th. Numbers, Univ. Colorado, Boulder (1959), 250-257.






