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Height function

A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of solutions to Diophantine equations and are typically functions from a set of points on algebraic varieties (or a set of algebraic varieties) to the real numbers.

History, Significance & Height functions in Diophantine geometry

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Overview

Significance

History

Height functions in Diophantine geometry

Height functions in algebra

Height functions in automorphic forms

Other height functions

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Height function

Nodes103
Edges102
Triples26
Avg. degree1.98
Density0.019417
Components1

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Height function

Top relations

related to history · 14
Height function → An, André Weil, Arakelov, Diophantine, Douglas Northcott, Faltings, Giambattista Benedetti, Heights, In, Innovations, Music, Néron, Suren Arakelov, Tate
related to Significance · 9
Height function → AlanBaker, Baker's, For, Height, In, S-unit, Schmidt, Siegel's, Wolfgang
is a · 1
Height function → function that quantifies the complexity of mathematical objects
related to Height functions in automorphic forms · 1
Height function → One

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Important terminology

height doi mr isbn 10 algebraic diophantine geometry zbl number defined functions weil faltings function points numbers naive heights mathematics

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Height functionis afunction that quantifies the complexity of mathematical objects0.90text
Baker's theorem in transcendental number theory which was proved by AlanBakerinstance ofheight functions can be used to prove asymptotic results0.80text
Height functionrelated to Height functions in automorphic formsOne0.60section
Height functionrelated to historyAn0.60section
Height functionrelated to historyGiambattista Benedetti0.60section
Height functionrelated to historyMusic0.60section
Height functionrelated to historyHeights0.60section
Height functionrelated to historyDiophantine0.60section
Height functionrelated to historyAndré Weil0.60section
Height functionrelated to historyDouglas Northcott0.60section
Height functionrelated to historyInnovations0.60section
Height functionrelated to historyNéron0.60section

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