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Volumn 2, Issue 2, 2010, Pages 233-246

On the density of the set of known Hadamard orders

Author keywords

Asymptotic density of sets; Hadamard matrices; Multiplicative functions; Paley matrices

Indexed keywords

ASYMPTOTIC DENSITY; CONSTRUCTION METHOD; DESIGN THEORY; HADAMARD; MULTIPLICATIVE FUNCTIONS; NATURAL NUMBER;

EID: 84859755284     PISSN: 19362447     EISSN: 19362455     Source Type: Journal    
DOI: 10.1007/s12095-010-0028-9     Document Type: Article
Times cited : (13)

References (12)
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    • Bernstein, D. J.: Arbitrarily tight bounds on the distribution of smooth integers. In: Bennett, M. A., et al. (eds.) Number Theory for the Millennium I, pp. 49-66. AK Peters (2002).
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  • 3
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    • Hadamard matrices and Hadamard designs
    • In: Colbourn, C. J., Dinitz, J. H. (eds.), 2nd edn., CRC Press
    • Craigen, R., Kharaghani, H.: Hadamard matrices and Hadamard designs. In: Colbourn, C. J., Dinitz, J. H. (eds.) Handbook of Combinatorial Designs, 2nd edn., pp. 273-280. CRC Press (2007).
    • (2007) Handbook of Combinatorial Designs , pp. 273-280
    • Craigen, R.1    Kharaghani, H.2
  • 4
    • 0040081183 scopus 로고
    • Product of four hadamard matrices
    • Craigen, R., Seberry, J., Zhang, X.: Product of four hadamard matrices. JCT A 59, 318-320 (1992).
    • (1992) JCT A , vol.59 , pp. 318-320
    • Craigen, R.1    Seberry, J.2    Zhang, X.3
  • 5
    • 38249003755 scopus 로고
    • Williamson matrices of order 4n for n = 33, 35, 39
    • Doković, D. Z.: Williamson matrices of order 4n for n = 33, 35, 39. Discrete Math. 115, 267-271 (1993).
    • (1993) Discrete Math. , vol.115 , pp. 267-271
    • Doković, D.Z.1
  • 6
    • 0000424216 scopus 로고
    • On the normal number of prime factors of p - 1 and some related problems concerning Euler's φ-function
    • Erdo{double acute}s, P.: On the normal number of prime factors of p - 1 and some related problems concerning Euler's φ-function. Q. J. Math. (Oxford) 6, 205-213 (1935).
    • (1935) Q. J. Math. (Oxford) , vol.6 , pp. 205-213
    • Erdos, P.1
  • 8
    • 22044450111 scopus 로고    scopus 로고
    • The distribution of totients
    • Ford, K.: The distribution of totients. Ramanujan J. 2, 67-151 (1998).
    • (1998) Ramanujan J. , vol.2 , pp. 67-151
    • Ford, K.1
  • 9
    • 0002884514 scopus 로고
    • The search for Hadamard matrices
    • Golomb, S. W., Baumert, L. D.: The search for Hadamard matrices. Am. Math. Mon. 70, 12-17 (1963).
    • (1963) Am. Math. Mon. , vol.70 , pp. 12-17
    • Golomb, S.W.1    Baumert, L.D.2
  • 11
    • 27144537205 scopus 로고
    • On some functions connected with φ(n)
    • Pillai, S. S.: On some functions connected with φ(n). Bull. Am. Math. Soc. 35, 832-836 (1929).
    • (1929) Bull. Am. Math. Soc. , vol.35 , pp. 832-836
    • Pillai, S.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.