Fractal dimension of sets induced by bases of imaginary quadratic fields

Jörg M. Thuswaldner

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 4, page 365-371
  • ISSN: 0139-9918

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Thuswaldner, Jörg M.. "Fractal dimension of sets induced by bases of imaginary quadratic fields." Mathematica Slovaca 48.4 (1998): 365-371. <http://eudml.org/doc/34479>.

@article{Thuswaldner1998,
author = {Thuswaldner, Jörg M.},
journal = {Mathematica Slovaca},
keywords = {canonical number system; fractal dimension},
language = {eng},
number = {4},
pages = {365-371},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Fractal dimension of sets induced by bases of imaginary quadratic fields},
url = {http://eudml.org/doc/34479},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Thuswaldner, Jörg M.
TI - Fractal dimension of sets induced by bases of imaginary quadratic fields
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 4
SP - 365
EP - 371
LA - eng
KW - canonical number system; fractal dimension
UR - http://eudml.org/doc/34479
ER -

References

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  1. BOREWICS S. I.-ŠAFAREVIČ I. R., Zahlentheorie, Birkhäuser, Basel, Stuttgart, 1966. (1966) MR0195802
  2. GILBERT W. J., The fractal dimension of sets derived from complex bases, Canad. Math. Bull. 29 (1986), 495-500. (1986) Zbl0564.10007MR0860860
  3. KÁTAI I., Number systems and fractal geometry, Preprint. Zbl1029.11005
  4. KÁTAI I.-KOVÁCS B., Kanonische Zahlensysteme in der Theorie der Quadratischen Zahlen, Acta Sci. Math. (Szeged) 42 (1980), 99-107. (1980) MR0576942
  5. KÁTAI I.-KOVÁCS B., Canonical number systems in imaginary quadratic fields, Acta Math. Hungar. 37 (1981), 159-164. (1981) Zbl0477.10012MR0616887
  6. KÁTAI I.-SZABÓ J., Canonical number systems for complex integers, Acta Sci. Math. (Szeged) 37 (1975), 255-260. (1975) Zbl0309.12001MR0389759
  7. KOVÁCS B., Canonical number systems in algebraic number fields, Acta Math. Hungar. 37 (1981), 405-407. (1981) Zbl0505.12001MR0619892
  8. KOVÁCS B.-PETHÖ A., Number systems in integral domains, especially in orders of algebraic number fields, Acta Sci. Math. (Szeged) 55 (1991), 286-299. (1991) Zbl0760.11002MR1152592

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