Sökning: onr:"swepub:oai:DiVA.org:kth-226225" >
ON THE VALUE DISTRI...
ON THE VALUE DISTRIBUTION OF TWO DIRICHLET L-FUNCTIONS
-
- Laaksonen, Niko (författare)
- KTH,Matematik (Inst.)
-
- Petridis, Yiannis N. (författare)
- UCL, Dept Math, Gower St, London WC1E 6BT, England.
-
KTH Matematik (Inst) (creator_code:org_t)
- WYDAWNICTWO NAUKOWE UAM, 2018
- 2018
- Engelska.
-
Ingår i: FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI. - : WYDAWNICTWO NAUKOWE UAM. - 0208-6573. ; 58:1, s. 43-68
- Relaterad länk:
-
https://urn.kb.se/re...
-
visa fler...
-
https://doi.org/10.7...
-
visa färre...
Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Dirichlet L-function
- value-distribution
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas