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Kummer sum

In mathematics, Kummer sum is the name given to certain cubic Gauss sums for a prime modulus p, with p congruent to 1 modulo 3. They are named after Ernst Kummer, who made a conjecture about the statistical properties of their arguments, as complex numbers. These sums were known and used before Kummer, in the theory of cyclotomy.

Statistical questions, Definition & Cassels' conjecture

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Overview

Definition

Statistical questions

Cassels' conjecture

Patterson's conjecture

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Kummer sum

Nodes34
Edges33
Triples11
Avg. degree1.94
Density0.058824
Components1

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Kummer sum

Top relations

related to Cassels' conjecture · 7
Kummer sum → Cassels, Charles Matthews, Eisenstein, Kummer, The, This, Tomio Kubota
related to Definition · 3
Kummer sum → Dirichlet, Given, Kummer
is a · 1
Kummer sum → name given to certain cubic Gauss sums for a prime modulus p

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Important terminology

kummer sums conjecture sum gauss fact cubic made theory statistical work heath-brown prime modulo known argument mathematics cube exponential form

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Kummer sumis aname given to certain cubic Gauss sums for a prime modulus p0.90text
Kummer sumrelated to Cassels' conjectureKummer0.60section
Kummer sumrelated to Cassels' conjectureCassels0.60section
Kummer sumrelated to Cassels' conjectureTomio Kubota0.60section
Kummer sumrelated to Cassels' conjectureThis0.60section
Kummer sumrelated to Cassels' conjectureEisenstein0.60section
Kummer sumrelated to Cassels' conjectureThe0.60section
Kummer sumrelated to Cassels' conjectureCharles Matthews0.60section
Kummer sumrelated to DefinitionKummer0.60section
Kummer sumrelated to DefinitionDirichlet0.60section
Kummer sumrelated to DefinitionGiven0.60section

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