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Volumn 262, Issue 1-3, 2003, Pages 253-276

General congruences for Bernoulli polynomials

Author keywords

Bernoulli polynomial; Congruence; q adic number

Indexed keywords


EID: 84867952894     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(02)00504-6     Document Type: Article
Times cited : (18)

References (15)
  • 1
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    • Carlitz, L.1
  • 2
    • 0037842309 scopus 로고
    • Bernoulli numbers-Bibliography (1713-1990)
    • The web site ofthe on-line version is
    • K. Dilcher, L. Skula, I.S. Slavutskii, Bernoulli numbers-Bibliography (1713-1990), Queen's Papers, Pure Appl. Math. 87 (1991) 71-175. The web site ofthe on-line version is http://www.mathstat. dal.ca/~dilcher/bernoulli.html.
    • (1991) Queen's Papers, Pure Appl. Math. , vol.87 , pp. 71-175
    • Dilcher, K.1    Skula, L.2    Slavutskii, I.S.3
  • 4
    • 84971872377 scopus 로고
    • Generalized irregular primes
    • R. Ernvall, Generalized irregular primes, Mathematika 30 (1983) 67-73.
    • (1983) Mathematika , vol.30 , pp. 67-73
    • Ernvall, R.1
  • 5
    • 0003252584 scopus 로고
    • A classical introduction to modern number theory
    • 2nd Edition Springer, New York (Chapter 15)
    • K. Ireland, M. Rosen, A Classical Introduction to Modern Number Theory, Graduate Texts in Mathematics, Vol. 84, 2nd Edition, Springer, New York, 1990 (Chapter 15).
    • (1990) Graduate Texts in Mathematics , vol.84
    • Ireland, K.1    Rosen, M.2
  • 6
    • 0040152096 scopus 로고
    • On congruences involving Bernoulli numbers and the quotients ofFermat and Wilson
    • E. Lehmer, On congruences involving Bernoulli numbers and the quotients ofFermat and Wilson, Ann. Math. 39 (1938) 350-360.
    • (1938) Ann. Math. , vol.39 , pp. 350-360
    • Lehmer, E.1
  • 9
    • 0347304245 scopus 로고    scopus 로고
    • Congruences concerning Bernoulli numbers and Bernoulli polynomials
    • Z.H. Sun, Congruences concerning Bernoulli numbers and Bernoulli polynomials, Discrete Appl. Math. 105 (2000) 193-223.
    • (2000) Discrete Appl. Math. , vol.105 , pp. 193-223
    • Sun, Z.H.1
  • 12
    • 0001002960 scopus 로고    scopus 로고
    • Congruences for Bernoulli, Euler, and Stirling numbers
    • P.T. Young, Congruences for Bernoulli, Euler, and Stirling numbers, J. Number Theory 78 (1999) 204-227.
    • (1999) J. Number Theory , vol.78 , pp. 204-227
    • Young, P.T.1
  • 13
    • 0035657446 scopus 로고    scopus 로고
    • Kummer congruences for values of Bernoulli and Euler polynomials
    • P.T. Young, Kummer congruences for values of Bernoulli and Euler polynomials, Acta Arith. 99 (2001) 277-288.
    • (2001) Acta Arith , vol.99 , pp. 277-288
    • Young, P.T.1
  • 14
    • 84960568356 scopus 로고
    • Remark on the Eisenstein-Sylvester extension ofFermat's theorem
    • H.F. Baker, Remark on the Eisenstein-Sylvester extension ofFermat's theorem, Proc. London Math. Soc. 4 (1906) 131-135.
    • (1906) Proc. London Math. Soc. , vol.4 , pp. 131-135
    • Baker, H.F.1
  • 15
    • 0038967946 scopus 로고
    • Sur les thWeorXemes de Sylvester concernant le quotient de Fermat
    • M. Lerch, Sur les thWeorXemes de Sylvester concernant le quotient de Fermat, C.R. Acad. Sci. Paris 142 (1906) 35-38.
    • (1906) C.R. Acad. Sci. Paris , vol.142 , pp. 35-38
    • Lerch, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.