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On a $q$-analogue of the $p$-adic generalized twisted $L$-functions and $p$-adic $q$-integrals

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Abstract

The purpose of this paper is to dene generalized twistedq-Bernouli numbers by using p-adic q-integrals. Furthermore, we constructa q-analogue of the p-adic generalized twisted L-functions which interpo-late generalized twisted q-Bernouli numbers. This is the generalizationof Kim’sh-extension ofp-adic q L-function which was constructed in[5] and is a partial answer for the open question which was remained in[3].

참고문헌 (17)

  1. "Introduction to p-adic numbers and valuation theory" (1964)
  2. "Generalized Carlitz?sq-Bernouli numbers in the p-adic numbereld"
  3. "On a q-analogue of the p-adic log ama functions and related integrals"
  4. "p-adic q-integrals asociated with Changhe-Barnes? q-Bernouli polynomials"
  5. "Non-Archimedean q-integrals asociated with multuple Changhe q-Bernoulipolynomials"
  6. "Analytic ontinuation of multiple q-zeta functions and their values"
  7. "On p-adic qL-functions and sums of powers", pp.1~3
  8. "On explicit formulas of p-adic qL-functions"
  9. "Sums of powers of consecutiveq-integers"
  10. "A new prof of certain formulas for p-adic L-functions" (1979)
  11. "Graduate Texts in Math-ematics", Springer-Verlag
  12. "A course in p-adic analysis Graduate Texts in Mathematics", Springer-Verlag
  13. "Cambridge Studies in Advanced Mathematics" (1984), Cambridge University Pres
  14. "On a p-adic interpolating function for the Euler numberand its derivative" (1985), Kyushu Univ
  15. "On p-adic twisted q L-functions related to generalized twisted Bernoulinumbers"
  16. "Theorems on twisted L-functions and twisted Bernoulli numbers", 11(2), pp.205~218 (2005)
  17. "Introduction to Cyclotomic fields", 83 (1997), Springer-Verlag, New York

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