Abstract
We have proved in Chapter II, Theorem 4, that all the non-real zeros of Riemann’s zeta-function ζ(s) lie in the critical strip 0≤σ≤1, and are symmetrically situated about the lines σ =1/2 and t = 0, where σ = Re s, t = Im s. We shall now prove a theorem of J. E. Littlewood that there exists a positive constant A such that the region
is free from any zero of ζ.
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© 1970 Springer-Verlag Berlin · Heidelberg
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Chandrasekharan, K. (1970). Littlewood’s theorem and Weyl’s method. In: Arithmetical Functions. Die Grundlehren der mathematischen Wissenschaften, vol 167. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50026-8_3
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DOI: https://doi.org/10.1007/978-3-642-50026-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-50028-2
Online ISBN: 978-3-642-50026-8
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