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Volumn 57, Issue 1, 1998, Pages 20-40

The sum-of-digits function for complex bases

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EID: 0032008356     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610798005663     Document Type: Article
Times cited : (25)

References (24)
  • 2
    • 0002341863 scopus 로고
    • Sur la fonction sommatoire de la fonction "Somme des Chiffres"
    • H. DELANGE, 'Sur la fonction sommatoire de la fonction "Somme des Chiffres"', Enseign. Math. (2) 21 (1975) 31-47.
    • (1975) Enseign. Math. (2) , vol.21 , pp. 31-47
    • Delange, H.1
  • 7
    • 49049148687 scopus 로고
    • Radix representations of quadratic fields
    • W. J. GILBERT, 'Radix representations of quadratic fields', J. Math. Anal. Appl. 83 (1981) 264-274.
    • (1981) J. Math. Anal. Appl. , vol.83 , pp. 264-274
    • Gilbert, W.J.1
  • 8
    • 0001315419 scopus 로고
    • Geometry of radix representations
    • Springer, Berlin-New York
    • W. J. GILBERT, 'Geometry of radix representations', The geometric vein (Springer, Berlin-New York, 1981) 129-139.
    • (1981) The Geometric Vein , pp. 129-139
    • Gilbert, W.J.1
  • 9
    • 0002697295 scopus 로고
    • Fractal geometry derived from complex bases
    • W. J. GILBERT, 'Fractal geometry derived from complex bases', Math. Intelligencer 4 (1982) 78-86.
    • (1982) Math. Intelligencer , vol.4 , pp. 78-86
    • Gilbert, W.J.1
  • 10
    • 0000263573 scopus 로고
    • Complex numbers with three radix representations
    • W. J. GILBERT, 'Complex numbers with three radix representations', Canad. J. Math. 34 (1982) 1335-1348.
    • (1982) Canad. J. Math. , vol.34 , pp. 1335-1348
    • Gilbert, W.J.1
  • 11
    • 0002708350 scopus 로고
    • Arithmetic in complex bases
    • W. J. GILBERT, 'Arithmetic in complex bases', Math. Mag. 57 (1984) 77-81.
    • (1984) Math. Mag. , vol.57 , pp. 77-81
    • Gilbert, W.J.1
  • 12
    • 0013552453 scopus 로고
    • The fractal dimension of sets derived from complex bases
    • W. J. GILBERT, 'The fractal dimension of sets derived from complex bases', Canad. Math. Bull. 29 (1986) 495-500.
    • (1986) Canad. Math. Bull. , vol.29 , pp. 495-500
    • Gilbert, W.J.1
  • 13
    • 0002560704 scopus 로고
    • Complex bases and fractal similarity
    • W. J. GILBERT, 'Complex bases and fractal similarity', Ann. Sci. Math. Québec 11 (1987) 65-77.
    • (1987) Ann. Sci. Math. Québec , vol.11 , pp. 65-77
    • Gilbert, W.J.1
  • 16
    • 0013481565 scopus 로고
    • Negative based number systems
    • W. J. GILBERT and R. J. GREEN, 'Negative based number systems', Math. Mag. 52 (1979) 240-244.
    • (1979) Math. Mag. , vol.52 , pp. 240-244
    • Gilbert, W.J.1    Green, R.J.2
  • 18
    • 0001484045 scopus 로고
    • Canonical number systems in imaginary quadratic fields
    • I. KÁTAI and B. KOVÁCS, 'Canonical number systems in imaginary quadratic fields', Acta Math. Akad. Sci. Hungar. 37 (1981) 159-164.
    • (1981) Acta Math. Akad. Sci. Hungar. , vol.37 , pp. 159-164
    • Kátai, I.1    Kovács, B.2
  • 19
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    • Canonical number systems for complex integers
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    • (1975) Acta Sci. Math. (Szeged) , vol.37 , pp. 255-260
    • Kátai, I.1    Szabó, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.