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Volumn 69, Issue 3, 2004, Pages 767-782

Mahler measure of Alexander polynomials

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EID: 3042540827     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610704005289     Document Type: Article
Times cited : (19)

References (36)
  • 1
    • 0036306214 scopus 로고    scopus 로고
    • Cusp densities of hyperbolic 3-manifolds
    • C. C. ADAMS, 'Cusp densities of hyperbolic 3-manifolds', Proc. Edinburgh Math. Soc. 45 (2002) 277-284.
    • (2002) Proc. Edinburgh Math. Soc. , vol.45 , pp. 277-284
    • Adams, C.C.1
  • 3
    • 0013479441 scopus 로고
    • Variations on a theme of Kronecker
    • D. W. BOYD, 'Variations on a theme of Kronecker', Canad. Math. Bull. 21 (1978) 129-133.
    • (1978) Canad. Math. Bull. , vol.21 , pp. 129-133
    • Boyd, D.W.1
  • 4
    • 0001274353 scopus 로고
    • Speculations concerning the range of Mahler's measure
    • D. W. BOYD, 'Speculations concerning the range of Mahler's measure', Canad. Math. Bull. 24 (1981) 453-469.
    • (1981) Canad. Math. Bull. , vol.24 , pp. 453-469
    • Boyd, D.W.1
  • 5
    • 0001598405 scopus 로고
    • Kronecker's theorem and Lehmer's problem for polynomials in several variables
    • D. W. BOYD, 'Kronecker's theorem and Lehmer's problem for polynomials in several variables', J. Number Theory 13 (1981) 116-121.
    • (1981) J. Number Theory , vol.13 , pp. 116-121
    • Boyd, D.W.1
  • 6
    • 0038903680 scopus 로고    scopus 로고
    • Uniform approximation to Mahler's measure in several variables
    • D. W. BOYD, 'Uniform approximation to Mahler's measure in several variables', Canad. Math. Bull. 41 (1998) 125-128.
    • (1998) Canad. Math. Bull. , vol.41 , pp. 125-128
    • Boyd, D.W.1
  • 7
    • 85027217991 scopus 로고    scopus 로고
    • D. W. BOYD, private correspondence
    • D. W. BOYD, private correspondence.
  • 11
    • 3042652298 scopus 로고    scopus 로고
    • The virtual Haken conjecture: Experiments and examples
    • N. M. DUNFIELD and W. P. THURSTON, 'The virtual Haken conjecture: experiments and examples', Geometry Topology 7 (2003) 399-441.
    • (2003) Geometry Topology , vol.7 , pp. 399-441
    • Dunfield, N.M.1    Thurston, W.P.2
  • 13
    • 0012816211 scopus 로고
    • Free differential calculus V
    • R. H. Fox, 'Free differential calculus V, Ann. of Math. 71 (1960) 408-422.
    • (1960) Ann. of Math. , vol.71 , pp. 408-422
    • Fox, R.H.1
  • 14
    • 0035614959 scopus 로고    scopus 로고
    • The arithmetic and geometry of Salem numbers
    • E. GHATE and E. HIRONAKA, 'The arithmetic and geometry of Salem numbers', Bull. Amer. Math. Soc. 38 (2001) 293-314.
    • (2001) Bull. Amer. Math. Soc. , vol.38 , pp. 293-314
    • Ghate, E.1    Hironaka, E.2
  • 15
    • 0002349839 scopus 로고
    • A computer generated cenus of cusped hyperbolic 3-manifolds
    • ed. E. Kaltofen and S. Watts, Springer, Berlin
    • M. HILDEBRAND and J. WEEKS, 'A computer generated cenus of cusped hyperbolic 3-manifolds', Computers and mathematics (ed. E. Kaltofen and S. Watts, Springer, Berlin, 1989) 53-59.
    • (1989) Computers and Mathematics , pp. 53-59
    • Hildebrand, M.1    Weeks, J.2
  • 16
    • 3042582040 scopus 로고    scopus 로고
    • The Lehmer polynomial and pretzel knots
    • E. HIRONAKA, 'The Lehmer polynomial and pretzel knots', Bull. Canad. Math. Soc. 38 (2001) 293-314.
    • (2001) Bull. Canad. Math. Soc. , vol.38 , pp. 293-314
    • Hironaka, E.1
  • 18
    • 3042633285 scopus 로고
    • Relations between the Alexander polynomial and summit power of a closed braid
    • Kobe University
    • M. E. KIDWELL, 'Relations between the Alexander polynomial and summit power of a closed braid', Mathematics Seminar Notes 10 (Kobe University, 1982) 387-409.
    • (1982) Mathematics Seminar Notes , vol.10 , pp. 387-409
    • Kidwell, M.E.1
  • 19
    • 0002520280 scopus 로고    scopus 로고
    • Problems in low-dimensional topology
    • Studies in Advanced Mathematics (ed. W. H. Kazez, American Mathematical Society, Providence, RI)
    • R. KIRBY, 'Problems in low-dimensional topology', Geometric topology, Studies in Advanced Mathematics (ed. W. H. Kazez, American Mathematical Society, Providence, RI, 1997).
    • (1997) Geometric Topology
    • Kirby, R.1
  • 20
    • 0000683812 scopus 로고
    • A problem of Boyd concerning geometric means of polynomials
    • W. M. LAWTON, 'A problem of Boyd concerning geometric means of polynomials', J. Number Theory 16 (1983) 356-362.
    • (1983) J. Number Theory , vol.16 , pp. 356-362
    • Lawton, W.M.1
  • 21
    • 0001729071 scopus 로고
    • Factorization of certain cyclotomic functions
    • D. H. LEHMER, 'Factorization of certain cyclotomic functions', Ann. of Math. 34 (1933) 461-479.
    • (1933) Ann. of Math. , vol.34 , pp. 461-479
    • Lehmer, D.H.1
  • 22
    • 0009908814 scopus 로고
    • A method for generating link polynomials
    • J. LEVINE, 'A method for generating link polynomials', Amer. J. Math. 89 (1967) 69-84.
    • (1967) Amer. J. Math. , vol.89 , pp. 69-84
    • Levine, J.1
  • 23
    • 0002994744 scopus 로고
    • An application of Jensen's formula to polynomials
    • K. MAHLER, 'An application of Jensen's formula to polynomials', Mathematika 7 (1960) 98-100.
    • (1960) Mathematika , vol.7 , pp. 98-100
    • Mahler, K.1
  • 24
    • 84962984422 scopus 로고
    • On some inequalities for polynomials in several variables
    • K. MAHLER, 'On some inequalities for polynomials in several variables', J. London Math. Soc. 37 (1962) 341-344.
    • (1962) J. London Math. Soc. , vol.37 , pp. 341-344
    • Mahler, K.1
  • 25
    • 0032367852 scopus 로고    scopus 로고
    • Polynomials with small Mahler measure
    • M. J. MOSSINGHOFF, 'Polynomials with small Mahler measure', Math. Comp. 67 (1998) 1697-1705.
    • (1998) Math. Comp. , vol.67 , pp. 1697-1705
    • Mossinghoff, M.J.1
  • 26
    • 0000459324 scopus 로고
    • Volumes of hyperbolic three-manifolds
    • W. D. NEUMANN and D. ZAIGER, 'Volumes of hyperbolic three-manifolds', Topology 24 (1985) 307-322.
    • (1985) Topology , vol.24 , pp. 307-322
    • Neumann, W.D.1    Zaiger, D.2
  • 27
    • 0003740339 scopus 로고
    • Publish or Perish, Berkeley, CA
    • D. ROLFSEN, Knots and links (Publish or Perish, Berkeley, CA, 1976).
    • (1976) Knots and Links
    • Rolfsen, D.1
  • 28
    • 84972536246 scopus 로고
    • A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
    • R. SALEM, 'A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan', Duke Math. J. 11 (1944) 103-108.
    • (1944) Duke Math. J. , vol.11 , pp. 103-108
    • Salem, R.1
  • 30
    • 0000351341 scopus 로고
    • Algebraic integers whose conjugates lie in the unit circle
    • C. L. SIEGEL, 'Algebraic integers whose conjugates lie in the unit circle', Duke Math. J. 11 (1944) 597-602.
    • (1944) Duke Math. J. , vol.11 , pp. 597-602
    • Siegel, C.L.1
  • 31
    • 0036331680 scopus 로고    scopus 로고
    • Mahler measure, links and homology growth
    • D. S. SILVER and S. G. WILLIAMS, 'Mahler measure, links and homology growth', Topology 41 (2002) 979-991.
    • (2002) Topology , vol.41 , pp. 979-991
    • Silver, D.S.1    Williams, S.G.2
  • 32
    • 0002696426 scopus 로고
    • On the product of the conjugates outside the unit circle of an algebraic integer
    • 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.
    • (1971) Bull. London Math. Soc. , vol.3 , pp. 169-175
    • Smyth, C.J.1
  • 33
    • 3042785390 scopus 로고
    • On measures of polynomials in several variables
    • corrigendum by C. J. Smyth and G. Myerson, Bull. Austral. Math. Soc. 26 (1982) 317-319
    • C. J. SMYTH, 'On measures of polynomials in several variables', Bull. Austral. Math. Soc. 23 (1981) 49-63, corrigendum by C. J. Smyth and G. Myerson, Bull. Austral. Math. Soc. 26 (1982) 317-319.
    • (1981) Bull. Austral. Math. Soc. , vol.23 , pp. 49-63
    • Smyth, C.J.1
  • 34
    • 85027218830 scopus 로고
    • On a theorem of Kronecker and a related question of Lehmer
    • 1977/78 (Birkhäuser, Basel)
    • C. L. STEWART, 'On a theorem of Kronecker and a related question of Lehmer', Séminare de Théorie de Nombres Bordeaux 1977/78 (Birkhäuser, Basel, 1978).
    • (1978) Séminare de Théorie de Nombres Bordeaux
    • Stewart, C.L.1
  • 35
    • 0003746329 scopus 로고
    • The geometry and topology of 3-manifolds
    • Princeton, revised version (Princeton University Press)
    • W. P. THUHSTON, 'The geometry and topology of 3-manifolds', Lecture Notes, Princeton, 1977, revised version (Princeton University Press, 1983).
    • (1977) Lecture Notes
    • Thuhston, W.P.1
  • 36
    • 0010775730 scopus 로고
    • Sur le produit des conjugués extérieurs au cercle unité d'un entier algébrique
    • M. WALDSCHMIDT, 'Sur le produit des conjugués extérieurs au cercle unité d'un entier algébrique', Enseign. Math. 26 (1980) 201-209.
    • (1980) Enseign. Math. , vol.26 , pp. 201-209
    • Waldschmidt, M.1


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