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ON THE VALUE DISTRI...
ON THE VALUE DISTRIBUTION OF TWO DIRICHLET L-FUNCTIONS
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- Laaksonen, Niko (author)
- KTH,Matematik (Inst.)
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- Petridis, Yiannis N. (author)
- UCL, Dept Math, Gower St, London WC1E 6BT, England.
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KTH Matematik (Inst) (creator_code:org_t)
- WYDAWNICTWO NAUKOWE UAM, 2018
- 2018
- English.
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In: FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI. - : WYDAWNICTWO NAUKOWE UAM. - 0208-6573. ; 58:1, s. 43-68
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.7...
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Dirichlet L-function
- value-distribution
Publication and Content Type
- ref (subject category)
- art (subject category)
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