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Original Articles

Minimal Mahler Measure in Real Quadratic Fields

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References

  • [Amoroso and Dvornicich 00] F. Amoroso and R. Dvornicich. “A Lower Bound for the Height in Abelian Extensions.” J. Number Theory 80 (2000), 260–272.
  • [Davenport 80] H. Davenport. Multiplicative Number Theory, ( Second edition). New York: Springer-Verlag, 1980.
  • [Hua 82] L. K. Hua. Introduction to Number Theory. Berlin-New York: Springer-Verlag, 1982.
  • [Janusz 96] G. J. Janusz. Algebraic Number Fields, ( Second edition). Graduate Studies in Mathematics, Vol. 7, Providence, RI: AMS, 1996.
  • [Kronecker 57] L. Kronecker. “Zwei Sätze ber gleichungen mit ganzzahligen coefficienten.” J. Reine Angew. Math. 53 (1857), 173–175.
  • [Lehmer 33] D. H. Lehmer. “Factorization of Certain Cyclotomic Functions.” Ann. Math. 34: 2 (1933), 461–479.
  • [Ricci 33] G. Ricci. “Ricerche Aritmetiche Sui Polinomi.” Rend. Circ. Mat. Palermo 57 (1933), 433–475.
  • [Ruppert 98] W. M. Ruppert. “Small Generators of Number Fields.” Manuscripta Math. 96 (1998), 17–22.
  • [Schinzel 73] A. Schinzel. “On The Product of the Conjugates Outside the Unit Circle of an Algebraic Number.” Acta Arith. 24 (1973), 385–399. Addendum ibid. 26 (1974/75), 329–331.
  • [Silverman 84] J. Silverman. “Lower Bounds for Height Functions.” Duke Math. J. 51 (1984), 395–403.
  • [Vaaler and Widmer] J. D. Vaaler and M. Widmer. Number Fields Without Small Generators. Arxiv 1410.5258.

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