| Title:
|
Fractal dimension of sets induced by bases of imaginary quadratic fields (English) |
| Author:
|
Thuswaldner, Jörg M. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
48 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
365-371 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A63 |
| MSC:
|
11R11 |
| MSC:
|
28A80 |
| idZBL:
|
Zbl 0956.11022 |
| idMR:
|
MR1693521 |
| . |
| Date available:
|
2009-09-25T11:31:43Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136731 |
| . |
| Reference:
|
[1] BOREWICS S. I.-ŠAFAREVIČ I. R.: Zahlentheorie.Birkhäuser, Basel, Stuttgart, 1966. MR 0195802 |
| Reference:
|
[2] GILBERT W. J.: The fractal dimension of sets derived from complex bases.Canad. Math. Bull. 29 (1986), 495-500. Zbl 0564.10007, MR 0860860 |
| Reference:
|
[3] KÁTAI I.: Number systems and fractal geometry.Preprint. Zbl 1029.11005 |
| Reference:
|
[4] KÁTAI I.-KOVÁCS B.: Kanonische Zahlensysteme in der Theorie der Quadratischen Zahlen.Acta Sci. Math. (Szeged) 42 (1980), 99-107. MR 0576942 |
| Reference:
|
[5] KÁTAI I.-KOVÁCS B.: Canonical number systems in imaginary quadratic fields.Acta Math. Hungar. 37 (1981), 159-164. Zbl 0477.10012, MR 0616887 |
| Reference:
|
[6] KÁTAI I.-SZABÓ J.: Canonical number systems for complex integers.Acta Sci. Math. (Szeged) 37 (1975), 255-260. Zbl 0309.12001, MR 0389759 |
| Reference:
|
[7] KOVÁCS B.: Canonical number systems in algebraic number fields.Acta Math. Hungar. 37 (1981), 405-407. Zbl 0505.12001, MR 0619892 |
| Reference:
|
[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. Zbl 0760.11002, MR 1152592 |
| . |
