Literatura académica sobre el tema "Conjecture d'Artin"
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Artículos de revistas sobre el tema "Conjecture d'Artin"
Maillot, Vincent y Damien Roessler. "Conjectures sur les dérivées logarithmiques des fonctions $L$ d'Artin aux entiers négatifs". Mathematical Research Letters 9, n.º 6 (2002): 715–24. http://dx.doi.org/10.4310/mrl.2002.v9.n6.a2.
Texto completoFröhlich, A. "LES CONJECTURES DE STARK SUR LES FONCTIONS L d'ARTIN EN s = 0 (Progress in Mathematics, 47)". Bulletin of the London Mathematical Society 17, n.º 5 (septiembre de 1985): 492–94. http://dx.doi.org/10.1112/blms/17.5.492.
Texto completoHAETTEL, Thomas. "Exposé Bourbaki 1195 : La conjecture du $K(\pi,1)$ pour les groupes d'Artin affines d'après Giovanni Paolini et Mario Salvetti". Astérisque, 4 de abril de 2023. http://dx.doi.org/10.24033/ast.1196.
Texto completoTesis sobre el tema "Conjecture d'Artin"
Dejou, Gaëlle. "Conjecture de brumer-stark non abélienne". Phd thesis, Université Claude Bernard - Lyon I, 2011. http://tel.archives-ouvertes.fr/tel-00618624.
Texto completoPéringuey, Paul. "Conjecture d’Artin sur les racines primitives généralisées parmi les entiers avec peu de facteurs premiers". Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0218.
Texto completoIn this thesis we are interested in a generalization of the notion of primitive root proposed by Carmichael: an integer a is a generalized primitive root modulo a positive integer n if it generates a subgroup of maximal size in “mathbb{Z}/nmathbb{Z}”. More precisely, we study an analogue of Artin's conjecture for primitive roots in this framework. Artin's conjecture states that the proportion of primes smaller than x, for which a given integer a is a primitive root, converges to a nonzero limit as long as a is neither -1 nor a square. This conjecture was proved conditionally on the generalized Riemann hypothesis for certain numbers fields by Hooley in 1967.By analogy with Artin's conjecture we count the number of elements of a subset of positive integers A smaller than x for which a given integer a is a generalized primitive root. The case where the set A is the set of all positive integers has already been treated by Li and Pomerance in various papers. In the first chapter of this thesis we introduce a characterization of generalized primitive roots modulo an integer n in terms of the prime factorization of n, and then we describe a heuristic approach to the problem. The second chapter is devoted to the case where the set A is the set of ell almost primes, i.e. the integers having at most ell prime factors. Using sieve methods, results from algebraic number theory, the Selberg-Delange method and some combinatorial arguments we prove, conditionally on the generalized Riemann hypothesis, results similar to those obtained by Hooley for the Artin conjecture. Moreover, we show unconditionally an upper bound for the proportion of almost primes for which a is a generalized primitive root. Finally, we show that in the special case where ell=2, a better error term can be obtained by replacing the Selberg-Delange method by the hyperbola method. In the third and last chapter we consider the case where A is the set of sifted “x^heta” integers, i.e. the integers having no prime factor smaller than “x^heta”, for 0