New values of the Julia Robinson number
-
Carlos Muñoz Sandoval
cmunoz2016@udec.cl
Downloads
DOI:
https://doi.org/10.56754/0719-0646.2603.387Abstract
We extend results of Vidaux and Videla concerning the set of Julia Robinson numbers.
Keywords
Mathematics Subject Classification:
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.
Similar Articles
- Mouez Dimassi, Maher Zerzeri, Spectral shift function for slowly varying perturbation of periodic Schrödinger operators , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- Mohd Danish Siddiqi, Mehmet Akif Akyol, Anti-invariant \({\xi^{\bot}}\)-Riemannian submersions from hyperbolic \(\beta\)-Kenmotsu manifolds , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- Rafael del Rio, Asaf L. Franco, Jose A. Lara, An approach to F. Riesz representation Theorem , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- E. A. Grove, E. Lapierre, W. Tikjha, On the global behavior of ð‘¥áµ¤â‚Šâ‚ = |ð‘¥áµ¤|− ð‘¦áµ¤ − 1 and ð‘¦áµ¤â‚Šâ‚ = ð‘¥áµ¤ +|ð‘¦áµ¤| , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- M.I. Belishev, A.F. Vakulenko, On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
You may also start an advanced similarity search for this article.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 C. Muñoz Sandoval

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.










