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Some arithmetic identities on Bernoulli and Euler numbers arising from the -adic integrals on

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this paper we investigate some arithmetic identities on Bernoulli and Euler num-bers by using bosonic and fermionic p-adic integrals on Z_p.

Abstract

this paper we investigate some arithmetic identities on Bernoulli and Euler num-bers by using bosonic and fermionic p-adic integrals on Z_p.

참고문헌 (10)

  1. Abdelmejid Bayad, "Modular properties of elliptic Bernoulli and Euler functions", Advanced Studies in Contemporary Mathematics, 20(3), pp.389~401 (2010), 장전수학회
  2. M. Cenkci, "The p-adic generalized twisted (h,q) -Euler-l-function and its applications", Advanced Studies in Contemporary Mathematics, 15(1), pp.37~47 (2007), 장전수학회
  3. H. Cohen, "Number Theory II", Graduate Text in Mathematics, 239 (2007), Springer
  4. D. V. Dolgy, "On the q-analogue of Euler measure with weight α", Advanced Studies in Contemporary Mathematics, 21(4), pp.429~435 (2011), 장전수학회
  5. K. W. Hwang, "Some theorems on Bernoulli and Euler numbers", ~
  6. D. S. Kim, "Identities of symmetry for generalized Euler polynomials", Int. J. Combinatorics, pp.12~ (2011)
  7. D. S. Kim, "Some new identities on the Bernoulli and Euler numbers", Discrete Dynamics in Nature and Society, pp.11~ (2011)
  8. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys, 16, pp.484~491 (2009)
  9. H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
  10. 유천성, "A note on the weighted q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(1), pp.47~54 (2011), 장전수학회

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