On intervals containing full sets of conjugates of algebraic integers

Artūras Dubickas

Acta Arithmetica (1999)

  • Volume: 91, Issue: 4, page 379-386
  • ISSN: 0065-1036

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Artūras Dubickas. "On intervals containing full sets of conjugates of algebraic integers." Acta Arithmetica 91.4 (1999): 379-386. <http://eudml.org/doc/207363>.

@article{ArtūrasDubickas1999,
author = {Artūras Dubickas},
journal = {Acta Arithmetica},
keywords = {full sets of conjugates; algebraic integers},
language = {eng},
number = {4},
pages = {379-386},
title = {On intervals containing full sets of conjugates of algebraic integers},
url = {http://eudml.org/doc/207363},
volume = {91},
year = {1999},
}

TY - JOUR
AU - Artūras Dubickas
TI - On intervals containing full sets of conjugates of algebraic integers
JO - Acta Arithmetica
PY - 1999
VL - 91
IS - 4
SP - 379
EP - 386
LA - eng
KW - full sets of conjugates; algebraic integers
UR - http://eudml.org/doc/207363
ER -

References

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  1. [Du] A. Dubickas, On the maximal conjugate of a totally real algebraic integer, Lithuanian Math. J. 37 (1997), 13-19. 
  2. [En] V. Ennola, Conjugate algebraic integers in an interval, Proc. Amer. Math. Soc. 53 (1975), 259-261. Zbl0286.12001
  3. [Kr] L. Kronecker, Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten, J. Reine Angew. Math. 53 (1857), 173-175. 
  4. [La] M. Langevin, Solution des problèmes de Favard, Ann. Inst. Fourier (Grenoble) 38 (1988), no. 2, 1-10. Zbl0634.12002
  5. [Le] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479. Zbl0007.19904
  6. [Lo] R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris 296 (1983), 707-708. Zbl0557.12001
  7. [Ro] R. M. Robinson, Intervals containing infinitely many sets of conjugate algebraic integers, in: Studies in Mathematical Analysis and Related Topics, Stanford Univ. Press, 1962, 305-315. 
  8. [SZ] A. Schinzel and H. Zassenhaus, A refinement of two theorems of Kronecker, Michigan Math. J. 12 (1965), 81-85. Zbl0128.03402
  9. [Sc] I. Schur, Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten, Math. Z. 1 (1918), 377-402. Zbl46.0128.03
  10. [Za] T. Zaïmi, Minoration du diamètre d'un entier algébrique totalement réel, C. R. Acad. Sci. Paris 319 (1994), 417-419. 

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