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A Discrete Mean Value of the Derivative of the Riemann Zeta Function
Author(s) -
Ng Nathan
Publication year - 2007
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300000255
Subject(s) - mathematics , riemann zeta function , riemann xi function , particular values of riemann zeta function , derivative (finance) , riemann hypothesis , zero (linguistics) , arithmetic zeta function , mean value , value (mathematics) , function (biology) , mathematical analysis , pure mathematics , prime zeta function , statistics , linguistics , philosophy , evolutionary biology , financial economics , economics , biology
In this article, a discrete mean value of the derivative of the Riemann zeta function is computed. This mean value will be important for several applications concerning the size of ζ′(ρ), where ζ(s) is the Riemann zeta function and ρ is a non‐trivial zero of ζ(s).