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: 0232-0525

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.