Discrete Mean Estimates and the Landau-Siegel Zero: Evaluation of Ξ15

A comprehensive evaluation of Ξ15, highlighting key proofs and calculations, including Cauchy's integral formula.

Author: Yitang Zhang. Table of Links Abstract & Introduction Notation and outline of the proof The set Ψ1 Zeros of LL in Ω Some analytic lemmas Approximate formula for L 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 12.

5 Abstract & Introduction Abstract & Introduction Notation and outline of the proof Notation and outline of the proof The set Ψ1 The set Ψ1 Zeros of LL in Ω Zeros of LL in Ω Some analytic lemmas Some analytic lemmas Approximate formula for L Approximate formula for L Mean value formula I Mean value formula I Evaluation of Ξ11 Evaluation of Ξ11 Evaluation of Ξ12 Evaluation of Ξ12 Proof of Proposition 2.4 Proof of Proposition 2.4 Proof of Proposition 2.6 Proof of Proposition 2.

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