메뉴 건너뛰기




Volumn 43, Issue 1, 2006, Pages 183-198

Q-extensions of genocchi numbers

Author keywords

Kummer congruences; p adic integral; p adic measures; q genocchi numbers

Indexed keywords


EID: 30344434945     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/JKMS.2006.43.1.183     Document Type: Article
Times cited : (35)

References (22)
  • 1
    • 84876844533 scopus 로고
    • Q-Bernoulli numbers and polynomials
    • L. Carlitz, q-Bernoulli numbers and polynomials, Duke Math. J. 15 (1948), 987-1000.
    • (1948) Duke Math. J. , vol.15 , pp. 987-1000
    • Carlitz, L.1
  • 2
    • 0001225667 scopus 로고
    • Q-Bernoulli and Eulerian numbers
    • _, q-Bernoulli and Eulerian numbers, Trans. Amer. Math. Soc. 76 (1954), 332-350.
    • (1954) Trans. Amer. Math. Soc. , vol.76 , pp. 332-350
  • 3
    • 0040142919 scopus 로고
    • The Staudt-clausen theorem
    • _, The Staudt-Clausen theorem, Math. Mag. 34 (1961), 131-146.
    • (1961) Math. Mag. , vol.34 , pp. 131-146
  • 4
    • 20844434732 scopus 로고    scopus 로고
    • p-adic interpolation functions and Kummer-type congruences for q-twisted and q-generalized twisted Euler numbers
    • M. Cenkci, M. Can, and V. Kurt, p-adic interpolation functions and Kummer-type congruences for q-twisted and q-generalized twisted Euler numbers, Advan. Stud. Contem. Math. 9 (2004), no. 2, 203-216.
    • (2004) Advan. Stud. Contem. Math. , vol.9 , Issue.2 , pp. 203-216
    • Cenkci, M.1    Can, M.2    Kurt, V.3
  • 5
    • 0142160815 scopus 로고    scopus 로고
    • On a sequence that generalizes the median Genocchi numbers
    • G. -N. Han and J. Zeng, On a sequence that generalizes the median Genocchi numbers, Ann. Sci. Math. Quebec 23 (1999), no. 1, 63-72.
    • (1999) Ann. Sci. Math. Quebec , vol.23 , Issue.1 , pp. 63-72
    • Han, G.N.1    Zeng, J.2
  • 7
    • 0011371110 scopus 로고
    • Applications of a recurrence formula for the Bernoulli numbers
    • F. T. Howard, Applications of a recurrence formula for the Bernoulli numbers, J. Number Theory 52 (1995), no. 1, 157-172.
    • (1995) J. Number Theory , vol.52 , Issue.1 , pp. 157-172
    • Howard, F.T.1
  • 8
    • 0003231451 scopus 로고
    • Lectures on p-adic L-functions
    • Princeton Univ. Press, Princeton, N. J.
    • K. Iwasawa, Lectures on p-adic L-functions, Ann. of Math. Studies Vol: 74, Princeton Univ. Press, Princeton, N. J., 1972.
    • (1972) Ann. of Math. Studies , vol.74
    • Iwasawa, K.1
  • 9
    • 30344447330 scopus 로고    scopus 로고
    • An application of polylogarithms in the analogs of Genocchi numbers
    • L. -C. Jang, T. Kim, D. -H. Lee, and D. -W. Park, An application of polylogarithms in the analogs of Genocchi numbers, Notes Number Theory Discrete Math. 7 (2001), no. 3, 65-69.
    • (2001) Notes Number Theory Discrete Math. , vol.7 , Issue.3 , pp. 65-69
    • Jang, L.C.1    Kim, T.2    Lee, D.H.3    Park, D.W.4
  • 10
    • 84973312023 scopus 로고
    • On explicit formulas of p-adic q-L-functions
    • T. Kim, On explicit formulas of p-adic q-L-functions, Kyushu J. Math. 48 (1994), no. 1, 73-86.
    • (1994) Kyushu J. Math. , vol.48 , Issue.1 , pp. 73-86
    • Kim, T.1
  • 11
    • 0000837633 scopus 로고    scopus 로고
    • On a q-analogue of the p-adic log gamma functions and related integrals
    • _, On a q-analogue of the p-adic log gamma functions and related integrals, J. Number Theory 76 (1999), no. 2, 320-329.
    • (1999) J. Number Theory , vol.76 , Issue.2 , pp. 320-329
  • 12
    • 0036631054 scopus 로고    scopus 로고
    • Q-Volkenborn integration
    • _, q-Volkenborn integration, RUSS. J. Math. Phys. 9 (2002), no. 3, 288-299.
    • (2002) RUSS. J. Math. Phys. , vol.9 , Issue.3 , pp. 288-299
  • 13
    • 31244435713 scopus 로고    scopus 로고
    • On p-adic q-L-functions and sums of powers
    • _, On p-adic q-L-functions and sums of powers, Discrete Math. 252 (2002), no. 1-3, 179-187.
    • (2002) Discrete Math. , vol.252 , Issue.1-3 , pp. 179-187
  • 14
    • 0037252731 scopus 로고    scopus 로고
    • Non-archimedean q-integrals associated with multiple Changhee q-Bernoulli polynomials
    • _, N on-Archimedean q-integrals associated with multiple Changhee q-Bernoulli polynomials, Russ. J. Math. Phys. 10 (2003), no. 1, 91-98.
    • (2003) Russ. J. Math. Phys. , vol.10 , Issue.1 , pp. 91-98
  • 15
    • 0141976231 scopus 로고    scopus 로고
    • On Euler-Barnes multiple zeta functions
    • _, On Euler-Barnes multiple zeta functions, Russ. J. Math. Phys. 10 (2003), no. 3, 261-267.
    • (2003) Russ. J. Math. Phys. , vol.10 , Issue.3 , pp. 261-267
  • 16
    • 30344435680 scopus 로고    scopus 로고
    • A note on q-Volkenborn integration
    • English. English Summary
    • _, A note on q-Volkenborn integration,(English. English summary) Proc. Jangjeon Math. Soc. 8 (2005), no. 1, 13-17.
    • (2005) Proc. Jangjeon Math. Soc. , vol.8 , Issue.1 , pp. 13-17
  • 18
    • 20744457221 scopus 로고    scopus 로고
    • Q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series
    • T. Kim, Y. Simsek, and H. M. Srivastava, q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series, Russ. J. Math. Phys. 12 (2005), no. 2, 201-228.
    • (2005) Russ. J. Math. Phys. , vol.12 , Issue.2 , pp. 201-228
    • Kim, T.1    Simsek, Y.2    Srivastava, H.M.3
  • 19
    • 0001408583 scopus 로고
    • On Carlitz's q-Bernoulli numbers
    • N. Koblitz, On Carlitz's q-Bernoulli numbers, J. Number Theory 14 (1982), no. 3, 332-339.
    • (1982) J. Number Theory , vol.14 , Issue.3 , pp. 332-339
    • Koblitz, N.1
  • 20
    • 38249023691 scopus 로고
    • Q-analogue of Riemann's ζ-function and q-Euler numbers
    • J. Satoh, q-analogue of Riemann's ζ-function and q-Euler numbers, J. Number Theory 31 (1989), no. 3, 346-362.
    • (1989) J. Number Theory , vol.31 , Issue.3 , pp. 346-362
    • Satoh, J.1
  • 21
    • 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), no. 2, 204-227.
    • (1999) J. Number Theory , vol.78 , Issue.2 , pp. 204-227
    • Young, P.T.1
  • 22
    • 0037272067 scopus 로고    scopus 로고
    • On the behaviour of some two-variable p-adic L-functions
    • _, On the behaviour of some two-variable p-adic L-functions, J. Number Theory 98 (2003), no. 1, 67-88.
    • (2003) J. Number Theory , vol.98 , Issue.1 , pp. 67-88


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.