On a conjecture of A. Schinzel and H. Zassenhaus

Artūras Dubickas

Acta Arithmetica (1993)

  • Volume: 63, Issue: 1, page 15-20
  • ISSN: 0065-1036

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Artūras Dubickas. "On a conjecture of A. Schinzel and H. Zassenhaus." Acta Arithmetica 63.1 (1993): 15-20. <http://eudml.org/doc/206503>.

@article{ArtūrasDubickas1993,
author = {Artūras Dubickas},
journal = {Acta Arithmetica},
keywords = {maximum modulus; Schinzel-Zassenhaus conjecture; algebraic integer},
language = {eng},
number = {1},
pages = {15-20},
title = {On a conjecture of A. Schinzel and H. Zassenhaus},
url = {http://eudml.org/doc/206503},
volume = {63},
year = {1993},
}

TY - JOUR
AU - Artūras Dubickas
TI - On a conjecture of A. Schinzel and H. Zassenhaus
JO - Acta Arithmetica
PY - 1993
VL - 63
IS - 1
SP - 15
EP - 20
LA - eng
KW - maximum modulus; Schinzel-Zassenhaus conjecture; algebraic integer
UR - http://eudml.org/doc/206503
ER -

References

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  1. [1] P. E. Blanksby and H. L. Montgomery, Algebraic integers near the unit circle, Acta Arith. 18 (1971), 355-369. Zbl0221.12003
  2. [2] D. C. Cantor and E. G. Straus, On a conjecture of D. H. Lehmer, Acta Arith. 42 (1982), 97-100. Zbl0504.12002
  3. [3] E. Dobrowolski, On the maximal modulus of conjugates of an algebraic integer, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), 291-292. Zbl0393.12003
  4. [4] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. Zbl0416.12001
  5. [5] M. Langevin, Systèmes complets de conjugués sur un corps quadratique imaginaire et ensembles de largeur constante, in: Number Theory and Applications, NATO Adv. Sci. Inst. Ser. C 265, Kluwer, 1989, 445-457. 
  6. [6] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479. Zbl0007.19904
  7. [7] R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris 296 (1983), 707-708. Zbl0557.12001
  8. [8] A. Schinzel and H. Zassenhaus, A refinement of two theorems of Kronecker, Michigan Math. J. 12 (1965), 81-85. 
  9. [9] C. J. Smyth, On the product of the conjugates outside the unit circle of an algebraic integer, Bull. London Math. Soc. 3 (1971), 169-175. Zbl0235.12003
  10. [10] C. L. Stewart, Algebraic integers whose conjugates lie near the unit circle, Bull. Soc. Math. France 196 (1978), 169-176 Zbl0396.12002

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