Discrete Mean Estimates and the Landau-Siegel Zero: Proof of Proposition 2.6

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Author:

(1) Yitang Zhang.

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Table of Links

Abstract & Introduction
Notation and outline of the proof
The set Ψ1
Zeros of L(s, ψ)L(s, χψ) in Ω
Some analytic lemmas
Approximate formula for L(s, ψ)
Mean value formula I
Evaluation of Ξ11
Evaluation of Ξ12
Proof of Proposition 2.4
Proof of Proposition 2.6
Evaluation of Ξ15
Approximation to Ξ14
Mean value formula II
Evaluation of Φ1
Evaluation of Φ2
Evaluation of Φ3
Proof of Proposition 2.5

Appendix A. Some Euler products

Appendix B. Some arithmetic sums

References

11. Proof of Proposition 2.6

By the result of Section 9,

Hence, by Cauchy’s inequality, the proof of Proposition 2.6 is reduced to showing that

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This paper is available on arxiv under CC 4.0 license.

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