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  • Laaksonen, Niko, et al. (author)
  • ON THE VALUE DISTRIBUTION OF TWO DIRICHLET L-FUNCTIONS
  • 2018
  • In: FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI. - : WYDAWNICTWO NAUKOWE UAM. - 0208-6573. ; 58:1, s. 43-68
  • Journal article (peer-reviewed)abstract
    • Let rho denote the non-trivial zeros of the Riemann zeta function. We study the relative value distribution of L(rho + sigma, chi(1)) and L(rho + sigma, chi(2)), where sigma is an element of[0, 1/2) is fixed and chi(1), chi(2) are two fixed Dirichlet characters to distinct prime moduli. For sigma > 0 we prove that a positive proportion of these pairs of values are linearly independent over R, which implies that the arguments of the values are different. For sigma = 0 we show that, up to height T, the values are different for cT of the Riemann zeros for some positive constant c.
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  • Result 1-1 of 1
Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Laaksonen, Niko (1)
Petridis, Yiannis N. (1)
University
Royal Institute of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2018 (1)

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