On the Mahler measure of the composition of two polynomials

G. Rhin; C. J. Smyth

Acta Arithmetica (1997)

  • Volume: 79, Issue: 3, page 239-247
  • ISSN: 0065-1036

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G. Rhin, and C. J. Smyth. "On the Mahler measure of the composition of two polynomials." Acta Arithmetica 79.3 (1997): 239-247. <http://eudml.org/doc/206978>.

@article{G1997,
author = {G. Rhin, C. J. Smyth},
journal = {Acta Arithmetica},
keywords = {polynomials; algebraic number; Mahler measure},
language = {eng},
number = {3},
pages = {239-247},
title = {On the Mahler measure of the composition of two polynomials},
url = {http://eudml.org/doc/206978},
volume = {79},
year = {1997},
}

TY - JOUR
AU - G. Rhin
AU - C. J. Smyth
TI - On the Mahler measure of the composition of two polynomials
JO - Acta Arithmetica
PY - 1997
VL - 79
IS - 3
SP - 239
EP - 247
LA - eng
KW - polynomials; algebraic number; Mahler measure
UR - http://eudml.org/doc/206978
ER -

References

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  2. [BlMo] P. E. Blanksby and H. L. Montgomery, Algebraic integers near the unit circle, Acta Arith. 18 (1971), 355-369. Zbl0221.12003
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  5. [Fl1] V. Flammang, Sur la longueur des entiers algébriques totalement positifs, J. Number Theory 54 (1995), 60-72. 
  6. [Fl2] V. Flammang, Two new points in the spectrum of the absolute Mahler measure of totally positive algebraic integers, Math. Comp. 65 (1996), 307-311. Zbl0852.11058
  7. [RhSm] G. Rhin and C. Smyth, On the absolute Mahler measure of polynomials having all zeros in a sector, Math. Comp. 64 (1995), 295-304. Zbl0820.11064
  8. [ScZas] A. Schinzel and H. Zassenhaus, A refinement of two theorems of Kronecker, Michigan Math. J. 12 (1965), 81-84. 
  9. [Si] C. L. Siegel, The trace of totally positive and real algebraic integers, Ann. of Math. 46 (1965), 302-312. Zbl0063.07009
  10. [Sm1] C. J. Smyth, On the measure of totally real algebraic integers II, Math. Comp. 37 (1981), 205-208. Zbl0475.12001
  11. [Sm2] C. J. Smyth, The mean values of totally real algebraic integers, Math. Comp. 42 (1984), 663-681. Zbl0536.12006
  12. [Za] D. Zagier, Algebraic numbers close to both 0 and 1, Math. Comp. 61 (1993), 485-491. 
  13. [Zh] S. Zhang, Positive line bundles on arithmetic surfaces, Ann. of Math. (2) 136 (1992), 569-587. Zbl0788.14017

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