Root separation for reducible monic quartics

Andrej Dujella; Tomislav Pejković

Rendiconti del Seminario Matematico della Università di Padova (2011)

  • Volume: 126, page 63-72
  • ISSN: 0041-8994

How to cite

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Dujella, Andrej, and Pejković, Tomislav. "Root separation for reducible monic quartics." Rendiconti del Seminario Matematico della Università di Padova 126 (2011): 63-72. <http://eudml.org/doc/242958>.

@article{Dujella2011,
author = {Dujella, Andrej, Pejković, Tomislav},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {63-72},
publisher = {Seminario Matematico of the University of Padua},
title = {Root separation for reducible monic quartics},
url = {http://eudml.org/doc/242958},
volume = {126},
year = {2011},
}

TY - JOUR
AU - Dujella, Andrej
AU - Pejković, Tomislav
TI - Root separation for reducible monic quartics
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2011
PB - Seminario Matematico of the University of Padua
VL - 126
SP - 63
EP - 72
LA - eng
UR - http://eudml.org/doc/242958
ER -

References

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  1. [1] Y. Bugeaud, Approximation by algebraic numbers. Cambridge Tracts in Mathematics, Cambridge, 2004. Zbl1155.11003MR2136100
  2. [2] Y. Bugeaud - A. Dujella, Root separation for irreducible integer polynomials, Bull. Lond. Math. Soc., to appear. 
  3. [3] Y. Bugeaud - M. Mignotte, Polynomial root separation, Intern. J. Number Theory, 6 (2010), pp. 587–602. Zbl1205.11032MR2652896
  4. [4] J.-H. Evertse, Distances between the conjugates of an algebraic number, Publ. Math. Debrecen, 65 (2004), pp. 323–340. Zbl1073.11066MR2107951
  5. [5] K. Mahler, An inequality for the discriminant of a polynomial, Michigan Math. J., 11 (1964), pp. 257–262. Zbl0135.01702MR166188
  6. [6] A. Schönhage, Polynomial root separation examples, J. Symbolic Comput., 41 (2006), pp. 1080–1090. Zbl1158.12300MR2262084
  7. [7] U. Zannier, On the Hilbert irreducibility theorem, Rend. Semin. Mat. Univ. Politec. Torino, 67, no. 1 (2009), pp. 1–14. Zbl1209.11058MR2588330

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