• Title/Summary/Keyword: twisted q-L-functions

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ON q-ANALGUE OF THE TWISTED L-FUNCTIONS AND q-TWISTED BERNOULLI NUMBERS

  • Simsek, Yilmaz
    • Journal of the Korean Mathematical Society
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    • v.40 no.6
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    • pp.963-975
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    • 2003
  • The aim of this work is to construct twisted q-L-series which interpolate twisted q-generalized Bernoulli numbers. By using generating function of q-Bernoulli numbers, twisted q-Bernoulli numbers and polynomials are defined. Some properties of this polynomials and numbers are described. The numbers $L_{q}(1-n,\;X,\;{\xi})$ is also given explicitly.

ON A q-ANALOGUE OF THE p-ADIC GENERALIZED TWISTED L-FUNCTIONS AND p-ADIC q-INTEGRALS

  • Lee, Chae-Jang
    • Journal of the Korean Mathematical Society
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    • v.44 no.1
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    • pp.1-10
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    • 2007
  • The purpose of this paper is to define generalized twisted q-Bernoulli numbers by using p-adic q-integrals. Furthermore, we construct a q-analogue of the p-adic generalized twisted L-functions which interpolate generalized twisted q-Bernoulli numbers. This is the generalization of Kim's h-extension of p-adic q-L-function which was constructed in [5] and is a partial answer for the open question which was remained in [3].

MAXIMAL FUNCTIONS ALONG TWISTED SURFACES ON PRODUCT DOMAINS

  • Al-Salman, Ahmad
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.1003-1019
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    • 2021
  • In this paper, we introduce a class of maximal functions along twisted surfaces in ℝn×ℝm of the form {(𝜙(|v|)u, 𝜑(|u|)v) : (u, v) ∈ ℝn×ℝm}. We prove Lp bounds when the kernels lie in the space Lq (𝕊n-1×𝕊m-1). As a consequence, we establish the Lp boundedness for such class of operators provided that the kernels are in L log L(𝕊n-1×𝕊m-1) or in the Block spaces B0,0q (𝕊n-1×𝕊m-1) (q > 1).