Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Dedekind sum

In mathematics, Dedekind sums are certain finite sums of products of a sawtooth function. Dedekind introduced them in the 1880's to express the functional equation of the Dedekind eta function, in a commentary to Bernhard Riemann's collected papers.. They have subsequently been much studied in number theory but also occur in some results in topology…

Products, Alternative forms & The reciprocity law

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Dedekind sum. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Alternative forms

CoprimeRoots of unityDiscrete Fourier transform
3 related topics

The reciprocity law

Quadratic reciprocityModular groupEven
3 related topics

Rademacher's generalization of the reciprocity law

Hans RademacherIf and only ifMarkov equation
3 related topics

Overview

MathematicsSawtooth functionDedekindFunctional equationDedekind eta function
11 related topics

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Alternative forms

The reciprocity law

Rademacher's generalization of the reciprocity law

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Dedekind sum

Nodes25
Edges24
Triples8
Avg. degree1.92
Density0.08
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Dedekind sum

Top relations

related to Rademacher's generalization of the reciprocity law · 5
Dedekind sum → Dedekind, Hans Rademacher, Hence, If, Markov
related to Definition · 3
Dedekind sum → Dedekind, Define, We

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

dedekind function number coprime sums reciprocity law sawtooth theory functional displaystyle sum positive integer integers equation eta generalization mathematics topology

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Dedekind sumrelated to DefinitionDefine0.60section
Dedekind sumrelated to DefinitionWe0.60section
Dedekind sumrelated to DefinitionDedekind0.60section
Dedekind sumrelated to Rademacher's generalization of the reciprocity lawHans Rademacher0.60section
Dedekind sumrelated to Rademacher's generalization of the reciprocity lawDedekind0.60section
Dedekind sumrelated to Rademacher's generalization of the reciprocity lawIf0.60section
Dedekind sumrelated to Rademacher's generalization of the reciprocity lawHence0.60section
Dedekind sumrelated to Rademacher's generalization of the reciprocity lawMarkov0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.