ON THE VALUE DISTRIBUTION OF TWO DIRICHLET L-FUNCTIONS

Petridis, Yiannis N. (author): UCL, Dept Math, Gower St, London WC1E 6BT, England.

KTH Matematik (Inst) (creator_code:org_t)

WYDAWNICTWO NAUKOWE UAM, 2018
2018
English.
In: FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI. - : WYDAWNICTWO NAUKOWE UAM. - 0208-6573. ; 58:1, s. 43-68

Related links:: https://urn.kb.se/re...; show more...; https://doi.org/10.7...; show less...

Abstract Subject headings

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.

About the subject

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