trureturingGitHub MATHEMATICAL ATLAS

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A self-conjugate grid with Schur ratio above one

A self-conjugate pair in the closed unit disk violates the shifted Schur-ratio bound in Conjecture 6.2 of Ostrovskii and Shcherbakov. The tableau definition gives the ratio 73/60 at t = 3, n = 2, k = 1.

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Refutation by a conjugate pair

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A self-conjugate grid with Schur ratio above oneA self-conjugate grid withSchur ratio above oneExact two-node regions for self-conjugate Schur-ratio and hook-Schur boundsExact two-node regions forself-conjugate Schur-ratio andhook-Schur bounds
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Closed
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0
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/Interpolation/SelfConjugateGridSchurRatioRefutation
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D5/S3/Analytic/Interpolation/SelfConjugateGridSchurRatioRefutation.lean
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sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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