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Analytic properties of the q-Volkenborn integral on the ring ofp-adic integers

Min-Soo KimJin-Woo Son
대한수학회 (The Korean Mathematical Society)|2007.02|대한수학회보 (Bulletin of the KMS)|제44권 제1호

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참고문헌 (22)

  1. "p-adic interpolation functions and Kummer-typecongruences for q-twisted andq-generalized twisted Euler numbers", 9(2), pp.203~216 (2004)
  2. "Lectures on p-Adic L-Functions Ann. of Math. Stud.74" (1972), Princeton Univ.Press Princeton
  3. "On Bernoulli numbers", 37(3), pp.391~410 (2000)
  4. "Some remarks on a q-analogue of Bernoulli numbers", 39(2), pp.221~236 (2002)
  5. "An analogue of Bernoulli numbers and their congruences" (1994), Rep. Fac. Sci. Engrg.Saga Univ. Math. 22
  6. "On explicit formulas of p-adic q-L-functions", (1) (1994)
  7. "On a q-analogue of the p-adic log gamma functions and related integrals", 76(2), pp.320~329 (1999)
  8. "q-Volkenborn integration", 9(3), pp.288~299 (2002)
  9. "A new approach to q-zeta function", 11(2), pp.157~162 (2005)
  10. "On a p-adic interpolation function for the q-extension of the generalizedBernoulli polynomials and its derivative, available at math.NT", 0502460, 2005, ~
  11. "A note on the Fourier transform of p-adic q-integrals, available at ArXivmath.NT", 0511573, 2005, ~
  12. "On the twisted q-zeta functions and q-Bernoulli polynomials", 13(1), pp.13~21 (2003)
  13. "a Short Course on Recent Work" (1980), Cambridge UniversityPress
  14. "Relationships between generalized Bernoulli numbers and poly-nomials and generalized Euler numbers and polynomials", 7(1), pp.11~18 (2003)
  15. "On the roots of theq-analogue of Euler-Barnes'polynomials", 9(2), pp.153~163 (2004)
  16. "q-analogue of Riemann's -function and q-Euler numbers" (1989)
  17. "An introduction to p-adic analysis CambridgeStudies in Adv. Math. 4" (1984), Cambridge Univ. Press
  18. "Theorems on twisted L-function and twisted Bernoulli numbers", 11(2), pp.205~218 (2005)
  19. "q-Bernoulli numbers and polynomials associ-ated with multiple q-Zeta functions and basic L-series", 12(2), pp.241~268 (2005)
  20. "Introduction to Cyclotomic Fields , 2nd ed" (1997), Springer-Verlag, NewYork
  21. "Fourier analysis for p-adic Lipschitz functions" (1974)
  22. "Convolutions on the ring of p-adic integers" (1979)

관련 논문AI추천

On a $q$-analogue of the $p$-adic generalized twisted $L$-functions and $p$-adic $q$-integrals장이채대한수학회 · 대한수학회지2007 · 제44권 제1호Linear functionals on the space of polynomials over CpD. S. Kim, H-I Kwon, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_pAND T. KIM, D. V. Dolgy, J.-J. SEO, S. H. LEE, S. H. Rim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호A note on p -adic q-integral on Z_p associated with q-Euler numbersT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호A note on p -adic q -Euler measureH. Ozden, I. Cang？l, S.-H. Rim, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제2호A note on p-adic invariant integral in the rings of p -adic integersTaekyun Kim장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제1호

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