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The mean value of the derivative of the Dedekind zeta-function of a real quadratic field
Published online by Cambridge University Press: 26 February 2010
Extract
Denote by ζk′(S), the derivative of the Dedekind zeta-function associated with the real quadratic field K. Then it is known that
where ζ(S) is the Riemann zeta-function, and L(s, x) is the Dirichlet L-series associated with the Legendre symbol X. Moreover, we have the functional equation
where D is the discriminant of K.
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- Copyright © University College London 1977
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