trureturingGitHub MATHEMATICAL ATLAS

Weil / CONCEPT

Convolution-Square Critical-Line Split

Symmetric convolution-square zero cutoffs split into a nonnegative critical-line part and an off-line remainder without asserting the Riemann hypothesis.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES4
PROOF DEPTH18
DOCUMENT LINKS1
THEOREM

The spectral parameter is real exactly on the critical line

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Convolution-Square PositivityConvolution-Square PositivityWeil: Weil IdentityWeil: Weil IdentityConvolution-Square Critical-Line SplitConvolution-Square Critical-Line SplitHeight-Window Weil-Square CriterionHeight-Window Weil-SquareCriterionTruncated Weil-Square Positivity CriterionTruncated Weil-SquarePositivity CriterionConvolution-Square Off-Line OrbitsConvolution-Square Off-LineOrbitsRH Implies the Transcribed O-6 Weil Positivity StatementRH Implies the Transcribed O-6Weil Positivity Statement
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Lean sourceResearch workspace
Status
Closed
Depth
18
Layer
D5/S3
Domain
Weil
Node ID
D5/S3/Weil/ZetaBridge/ConvolutionSquareCriticalLine
Repository path
D5/S3/Weil/ZetaBridge/ConvolutionSquareCriticalLine.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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