메뉴 건너뛰기




Volumn 64, Issue 3, 2001, Pages 523-547

Distribution of binomial coefficients and digital functions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0242648541     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610701002630     Document Type: Article
Times cited : (16)

References (20)
  • 1
    • 0004635890 scopus 로고    scopus 로고
    • Triangle de Pascal, complexité et automates
    • Journées Montoises (Mons, 1994)
    • J.-P. ALLOUCHE and V. BERTHÉ, Triangle de Pascal, complexité et automates', Bull. Belg. Math. Soc. Simon Stevin 4 (1997) 1-23 (Journées Montoises (Mons, 1994)).
    • (1997) Bull. Belg. Math. Soc. Simon Stevin , vol.4 , pp. 1-23
    • Allouche, J.-P.1    Berthé, V.2
  • 3
    • 0030591369 scopus 로고    scopus 로고
    • Distribution des coefficients multinomiaux et q-binomiaux modulo p
    • D. BARBOLOSI and P. J. GRABNER, 'Distribution des coefficients multinomiaux et q-binomiaux modulo p', Indag. Math. 7 (1996) 129-135.
    • (1996) Indag. Math. , vol.7 , pp. 129-135
    • Barbolosi, D.1    Grabner, P.J.2
  • 4
    • 0000602683 scopus 로고
    • On a problem in additive number theory
    • R. BELLMAN and H. N. SHAPIRO, 'On a problem in additive number theory', Ann. of Math. (2) 49 (1948) 333-340.
    • (1948) Ann. of Math. (2) , vol.49 , pp. 333-340
    • Bellman, R.1    Shapiro, H.N.2
  • 5
    • 18544366036 scopus 로고
    • The distribution of binomial coefficients (mod p)
    • L. CARLITZ, The distribution of binomial coefficients (mod p)', Arch. Math. 14 (1963) 297-303.
    • (1963) Arch. Math. , vol.14 , pp. 297-303
    • Carlitz, L.1
  • 6
    • 51249188263 scopus 로고
    • The number of binomial coefficients divisible by a fixed power of a prime
    • L. CARLITZ, 'The number of binomial coefficients divisible by a fixed power of a prime', Rend. Circ. Mat. Palermo 16 (1967) 299-320.
    • (1967) Rend. Circ. Mat. Palermo , vol.16 , pp. 299-320
    • Carlitz, L.1
  • 8
    • 84983632116 scopus 로고
    • Lucas congruence for prime powers
    • K. S. DAVIS and W. WEBB, 'Lucas congruence for prime powers', European J. Combin. 11 (1990) 229-233.
    • (1990) European J. Combin. , vol.11 , pp. 229-233
    • Davis, K.S.1    Webb, W.2
  • 9
    • 38249007443 scopus 로고
    • A binomial coefficient congruence modulo prime powers
    • K. S. DAVIS and W. WEBB, 'A binomial coefficient congruence modulo prime powers', J. Number neory 43 (1993) 20-23.
    • (1993) J. Number Neory , vol.43 , pp. 20-23
    • Davis, K.S.1    Webb, W.2
  • 10
    • 0001440989 scopus 로고
    • Sur les fonctions q-additive ou q-multiplicatives
    • H. DELANGE, 'Sur les fonctions q-additive ou q-multiplicatives', Acta Arith. 21 (1972) 285-298.
    • (1972) Acta Arith. , vol.21 , pp. 285-298
    • Delange, H.1
  • 11
    • 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
  • 13
    • 0345709305 scopus 로고    scopus 로고
    • The distribution of patterns in digital expansions
    • Graz, 1998 ed. F. Halter-Koch and R. F. Tichy, de Gruyter, Berlin
    • M. DRMOTA, The distribution of patterns in digital expansions', Algebraic Number Theory and Diophantine Analysis (Graz, 1998) (ed. F. Halter-Koch and R. F. Tichy, de Gruyter, Berlin, 2000) 103-121.
    • (2000) Algebraic Number Theory and Diophantine Analysis , pp. 103-121
    • Drmota, M.1
  • 15
    • 0030500245 scopus 로고    scopus 로고
    • Sommes des chiffres et nombres presque premiers
    • E. FOUVRY and C. MAUDUIT, 'Sommes des chiffres et nombres presque premiers', Math. Ann. 305 (1996) 571-599.
    • (1996) Math. Ann. , vol.305 , pp. 571-599
    • Fouvry, E.1    Mauduit, C.2
  • 16
    • 18544377710 scopus 로고    scopus 로고
    • Distribution of binomial coefficients modulo p
    • Eger, 1996 ed. K. Gyõry, A. Pethõ and V. T. Sós, de Gruyter, Berlin
    • Z. M. FRANCO, 'Distribution of binomial coefficients modulo p', Number Theory (Eger, 1996) (ed. K. Gyõry, A. Pethõ and V. T. Sós, de Gruyter, Berlin, 1998) 199-209.
    • (1998) Number Theory , pp. 199-209
    • Franco, Z.M.1
  • 17
    • 0010110685 scopus 로고
    • The distribution of the binomial coefficients modulo p
    • R. GARFIELD and H. S. WILF, The distribution of the binomial coefficients modulo p', J. Number Theory 41 (1992) 1-5.
    • (1992) J. Number Theory , vol.41 , pp. 1-5
    • Garfield, R.1    Wilf, H.S.2
  • 18
    • 0001512875 scopus 로고
    • Sur les nombres qui ont des propriétés additives et multiplicatives données
    • A. O. GELFOND, 'Sur les nombres qui ont des propriétés additives et multiplicatives données', Acta Arith. 13 (1968) 259-266.
    • (1968) Acta Arith. , vol.13 , pp. 259-266
    • Gelfond, A.O.1
  • 19
    • 0002700746 scopus 로고
    • Completely q-multiplicative functions: The Mellin-transform approach
    • P. J. GRABNER, 'Completely q-multiplicative functions: the Mellin-transform approach', Acta Arith. 65 (1993) 85-96.
    • (1993) Acta Arith. , vol.65 , pp. 85-96
    • Grabner, P.J.1
  • 20
    • 0001182348 scopus 로고
    • Zaphod Beeblebrox's brain and the fifty-ninth row of Pascal's triangle
    • corrigendum, Amer. Math. Monthly 104 (1997) 848-851
    • A. GRANVILLE, 'Zaphod Beeblebrox's brain and the fifty-ninth row of Pascal's triangle', Amer. Math. Monthly 99 (1992) 318-331; corrigendum, Amer. Math. Monthly 104 (1997) 848-851.
    • (1992) Amer. Math. Monthly , vol.99 , pp. 318-331
    • Granville, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.