The behavior of the twisted p-adic (h, q)-L-functions at s=0

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Simsek Y.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.44, no.4, pp.915-929, 2007 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 44 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.4134/jkms.2007.44.4.915
  • Journal Name: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.915-929
  • Keywords: q-Bernoulli numbers and polynomials, twisted q-Bernoulli numbers and polynomials, q-zeta function, p-adic L-function, twisted q-zeta function, twisted q-L-functions, q-Volkenborn integral, Q-BERNOULLI POLYNOMIALS, BASIC L-SERIES, ZETA-FUNCTION, Q-ANALOG, NUMBERS, EULER, SUMS
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

The main result of this paper is to construct the derivative twisted p-adic (h,q)-L-functions at s = 0. We obtain twisted version of Theorem 4 in [17]. We also obtain twisted (h,q)-extension of Proposition 1 in [3].