New values of the Julia Robinson number
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Carlos Muñoz Sandoval
cmunoz2016@udec.cl
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DOI:
https://doi.org/10.56754/0719-0646.2603.387Abstract
We extend results of Vidaux and Videla concerning the set of Julia Robinson numbers.
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M. Castillo, “On the Julia Robinson number of rings of totally real algebraic integers in some towers of nested square roots,” Ph.D. dissertation, Universidad de Concepción, 2018, Available: http://dmat.cfm.cl/dmat/wp-content/uploads/2018/05/castillomarianela_prog4208.pdf.
P. Gillibert and G. Ranieri, “Julia Robinson numbers,” Int. J. Number Theory, vol. 15, no. 8, pp. 1565–1599, 2019, doi: 10.1142/S1793042119500908.
M. Jarden and C. R. Videla, “Undecidability of families of rings of totally real integers,” Int. J. Number Theory, vol. 4, no. 5, pp. 835–850, 2008, doi: 10.1142/S1793042108001705.
F. Pazuki, N. Technau, and M. Widmer, “Northcott numbers for the house and the Weil height,” Bull. Lond. Math. Soc., vol. 54, no. 5, pp. 1873–1897, 2022, doi: 10.1090/S0002-9939-2015-12592-0.
J. Robinson, “The undecidability of algebraic rings and fields,” Proc. Amer. Math. Soc., vol. 10, pp. 950–957, 1959, doi: 10.1090/S0002-9939-2015-12592-0.
J. Robinson, “On the decision problem for algebraic rings,” in Studies in mathematical analysis and related topics, ser. Stanford Studies in Mathematics and Statistics. Stanford Univ. Press, Stanford, CA, 1962, vol. IV, pp. 297–304.
X. Vidaux and C. R. Videla, “Definability of the natural numbers in totally real towers of nested square roots,” Proc. Amer. Math. Soc., vol. 143, no. 10, pp. 4463–4477, 2015, doi: 10.1090/S0002-9939-2015-12592-0.
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