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Volumn 151, Issue 2, 2004, Pages 589-593

Kummer congruence for the Bernoulli numbers of higher order

Author keywords

Bernoulli numbers; Kummer congruences; Non Archimedean integration; Volkenborn integrals

Indexed keywords

FUNCTIONS; SET THEORY; THEOREM PROVING;

EID: 1542611573     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00314-X     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 0037466704 scopus 로고    scopus 로고
    • On higher order generalized Bernoulli numbers
    • Jang Y., Kim D.S. On higher order generalized Bernoulli numbers. Appl. Math. Comput. 137:2003;387-398.
    • (2003) Appl. Math. Comput. , vol.137 , pp. 387-398
    • Jang, Y.1    Kim, D.S.2
  • 2
    • 0036463070 scopus 로고    scopus 로고
    • On a multidimensional Volkenborn integral and higher order Bernoulli numbers
    • Kim M.S., Son J.W. On a multidimensional Volkenborn integral and higher order Bernoulli numbers. Bull. Aust. Math. 65:2002;59-71.
    • (2002) Bull. Aust. Math. , vol.65 , pp. 59-71
    • Kim, M.S.1    Son, J.W.2
  • 3
    • 1542489037 scopus 로고    scopus 로고
    • Explicit formulas for the q -Bernoulli numbers of higher order
    • Kim T., Rim S.H. Explicit formulas for the. q -Bernoulli numbers of higher order Proc. Jangjeon Math. Soc. 1:2000;97-107.
    • (2000) Proc. Jangjeon Math. Soc. , vol.1 , pp. 97-107
    • Kim, T.1    Rim, S.H.2
  • 4
    • 0035531006 scopus 로고    scopus 로고
    • Sums of products of q -Bernoulli numbers
    • Kim T. Sums of products of. q -Bernoulli numbers Arch. Math. 76:2001;190-195.
    • (2001) Arch. Math. , vol.76 , pp. 190-195
    • Kim, T.1
  • 5
    • 0037951096 scopus 로고    scopus 로고
    • Remark on p -adic q - L -functions
    • Kim T. Remark on. p -adic q - L -functions Proc. Jangjeon Math. Soc. 1:2000;161-169.
    • (2000) Proc. Jangjeon Math. Soc. , vol.1 , pp. 161-169
    • Kim, T.1
  • 6
    • 0040259741 scopus 로고    scopus 로고
    • Generalized Carlitz's q -Bernoulli numbers in the p -adic number field
    • Kim T., Rim S.H. Generalized Carlitz's. q -Bernoulli numbers in the p -adic number field Adv. Stud. Contemp. Math. 2:2000;9-19.
    • (2000) Adv. Stud. Contemp. Math. , vol.2 , pp. 9-19
    • Kim, T.1    Rim, S.H.2
  • 7
    • 1542698613 scopus 로고    scopus 로고
    • Some q -Bernoulli numbers of higher order associated with the p -adic q -integrals
    • Kim T. Some. q -Bernoulli numbers of higher order associated with the p -adic q -integrals Proc. Jangjeon Math. Soc. 2:2001;23-34.
    • (2001) Proc. Jangjeon Math. Soc. , vol.2 , pp. 23-34
    • Kim, T.1
  • 8
    • 0035941181 scopus 로고    scopus 로고
    • A note on q -multiple zeta functions
    • Kim T. A note on. q -multiple zeta functions J. Math. Phys. A. 34:2001;L643-L646.
    • (2001) J. Math. Phys. A , vol.34
    • Kim, T.1
  • 9
    • 1542489034 scopus 로고    scopus 로고
    • A note on the q -analogs of Genocchu numbers
    • Kim T. A note on the. q -analogs of Genocchu numbers Proc. Jangjeon Math. Soc. 2:2001;19-22.
    • (2001) Proc. Jangjeon Math. Soc. , vol.2 , pp. 19-22
    • Kim, T.1
  • 10
    • 1542698611 scopus 로고    scopus 로고
    • Remark on p -adic proofs for q -Bernoulli and Eulerian numbers of higher order
    • Kim T. Remark on. p -adic proofs for q -Bernoulli and Eulerian numbers of higher order Proc. Jangjeon Math. Soc. 2:2001;9-15.
    • (2001) Proc. Jangjeon Math. Soc. , vol.2 , pp. 9-15
    • Kim, T.1
  • 11
    • 1542593676 scopus 로고    scopus 로고
    • A note on the values of p -adic q - L -functions
    • Kim T. A note on the values of. p -adic q - L -functions Proc. Jangjeon Math. Soc. 3:2001;63-68.
    • (2001) Proc. Jangjeon Math. Soc. , vol.3 , pp. 63-68
    • Kim, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.