Le théorème de Schanuel pour un corps non commutatif
Rendiconti del Seminario Matematico della Università di Padova, Tome 130 (2013), pp. 221-282.
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     title = {Le th\'eor\`eme de {Schanuel} pour un corps non commutatif},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {221--282},
     publisher = {Seminario Matematico of the University of Padua},
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     language = {fr},
     url = {http://www.numdam.org/item/RSMUP_2013__130__221_0/}
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Rémond, Gaël; Zehrt-Liebendörfer, Christine. Le théorème de Schanuel pour un corps non commutatif. Rendiconti del Seminario Matematico della Università di Padova, Tome 130 (2013), pp. 221-282. http://www.numdam.org/item/RSMUP_2013__130__221_0/

[B] T. Borek, Arakelov theory of noncommutative arithmetic curves. J. Number Theory, 131 (2011), pp. 212-227. | MR | Zbl

[Ca] J. W. S. Cassels, An introduction to the geometry of numbers. Springer, Berlin, 1959. | MR

[Ch] H. Chaix, Démonstration élémentaire d'un théoréme de Van der Corput. C. R. A. S. 275 (1972), pp. 883-885. | MR | Zbl

[CG] C. Christensen - W. Gubler, Der relative Satz von Schanuel. Manuscripta Math, 126 (2008), pp. 505-525. | MR | Zbl

[Da] H. Davenport, On a principle of Lipschitz. J. London Math. Soc. 26 (1951), pp. 179-183. | MR | Zbl

[De] M. Deuring, Algebren. Springer, Berlin, 1968. | MR | Zbl

[FMT] J. Franke - Y. Manin - Y. Tschinkel, Rational points of bounded height on Fano varieties. Invent. Math. 95 (1989), pp. 421-435. Erratum c;ibid. 102 (1990), p. 463. | EuDML | MR | Zbl

[FP] D. Farenick - B. Pidkowich, The spectral theorem in quaternions. Lin. Alg. Appl. 371 (2003), pp. 75-102. | MR | Zbl

[G] C. Gasbarri, On the number of points of bounded height on arithmetic projective spaces. Manuscripta Math. 98 (1999), pp. 453-475. | MR | Zbl

[J] N. Jacobson, Basic Algebra I. Freeman, San Francisco, 1974. | MR

[La] S. Lang, Algebraic number theory. Addison-Wesley, Reading, Mass. 1970. | MR

[Le] A. Leutbecher, Zahlentheorie. Springer, Berlin, 1996.

[LR] C. Liebendörfer - G. Rémond, Hauteurs de sous-espaces sur les corps non commutatifs. Math. Z. 255 (2007), pp. 549-577. | MR

[MV] D. Masser - J. Vaaler, Counting algebraic numbers with large height II. Trans. Amer. Math. Soc. 359 (2007), pp. 427-445. | MR

[N] W. Narkiewicz, Elementary and analytic theory of algebraic numbers. Springer, Berlin, 1990. | MR

[P] E. Peyre, Hauteurs et mesures de Tamagawa sur les variétés de Fano. Duke Math. J. 79 (1995), pp. 101-218. | MR

[R] I. Reiner, Maximal orders. Academic Press, London, 1975. | MR

[Scha] S. H. Schanuel, Heights in number fields. Bull. Soc. Math. Fr. 107 (1979), pp. 433-449. | MR

[Schm] W. Schmidt, The distribution of sublattices of m . Monatsh. Math. 125 (1998), pp. 37-81. | MR

[St] R. P. Stanley, Enumerative Combinatorics. Volume 1, Cambridge University Press, 1997. | MR

[T1] J. L. Thunder, An asymptotic estimate for heights of algebraic subspaces. Trans. Amer. Math. Soc. 331 (1992), pp. 395-424. | MR

[T2] J. L. Thunder, The number of solutions of bounded height to a system of linear equations. J. Number Theory. 43 (1993), pp. 228-250. | MR

[V] P. Voutier, An effective lower bound for the height of algebraic numbers. Acta Arithm. 74 (1996), pp. 81-95. | MR

[W] M. Widmer, Counting primitive points of bounded height. Trans. Amer. Math. Soc. 362 (2010), pp. 4793-4829. | MR