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Z function

In mathematics, the Z function is a function used for studying the Riemann zeta function along the critical line where the argument is one-half. It is also called the Riemann–Siegel Z function, the Riemann–Siegel zeta function, the Hardy function, the Hardy Z function and the Hardy zeta function. It can be defined in terms of the Riemann–Siegel theta…

Behavior of the Z function, The Riemann–Siegel formula & Overview

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Behavior of the Z function

Critical line theoremRMSLindelöf
3 related topics

The Riemann–Siegel formula

Riemann–Siegel formulaIncomplete gamma function
2 related topics

Overview

MathematicsFunctionRiemann zeta functionCritical lineHardy
9 related topics

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Overview

The Riemann–Siegel formula

Behavior of the Z function

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Z function

Nodes18
Edges17
Triples14
Avg. degree1.89
Density0.111111
Components1

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Z function

Top relations

related to An Omega theorem · 5
Z function → Because, For, It, Omega, Riemann
related to Behavior of the Z function · 5
Z function → From, Hence, If, It, Riemann
related to Average growth · 3
Z function → RMS, The, We
is a · 1
Z function → function used for studying the Riemann zeta function along the critical line where the argument is one-half

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Important terminology

function riemann zeta siegel critical real mathematics zeros also average hypothesis line follows values isbn zbl displaystyle along strip growth

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Z functionis afunction used for studying the Riemann zeta function along the critical line where the argument is one-half0.90text
Z functionrelated to An Omega theoremBecause0.60section
Z functionrelated to An Omega theoremIt0.60section
Z functionrelated to An Omega theoremFor0.60section
Z functionrelated to An Omega theoremRiemann0.60section
Z functionrelated to An Omega theoremOmega0.60section
Z functionrelated to Average growthThe0.60section
Z functionrelated to Average growthWe0.60section
Z functionrelated to Average growthRMS0.60section
Z functionrelated to Behavior of the Z functionFrom0.60section
Z functionrelated to Behavior of the Z functionHence0.60section
Z functionrelated to Behavior of the Z functionIf0.60section

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