Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON p-ADIC q-BERNOULLl NUMBERS

  • Kim, Tae-Kyun (Department of Mathematics Korean Minjok Leadership Academy)
  • Published : 2000.01.01
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Abstract

We give a proof of the distribution relation for q-Bernoulli polynomials $B_{k}$(x : q) by using q-integral and evaluate the values of p-adic q-L-function.n.

Keywords

References

  1. Duke Math. J. v.15 q-Bernoulli numbers and polynomials L. Carlitz
  2. Trans. Amer. Math. v.76 q-Bernoulli and Eulerian numbers
  3. Advanced Studies in Contemporary Mathematics v.1 Remark on p-adic q-Bernoulli numbers T. Kim;H. Kim
  4. Rep. Fac. Sci. Engr. Saga Univ. Math. v.23 On certain values of p-adic q-L-functions H. Kim;T. Kim
  5. J. Number Theory v.76 T. Kim
  6. J. Number Theory v.14 On Carlitz's q- Bernoulli numbers N. Koblitz
  7. J. Number Theory v.39 A note on q-analogue of Dirichelet series and q-Bernoulli numbers H. Tsumura
  8. Introduction to Cyclotomic Fields(1st, ed.) L. C. Washington
  9. Introduction to Cyclotomic Fields(2nd, ed.)