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L-function

An L-function is a meromorphic function on the complex plane, and one out of several categories of mathematical objects studied in analytic number theory and related fields. L-functions share fundamental properties and characteristics with the Riemann zeta function, which serves as the prototypical example of an L-function; therefore, L-functions are…

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Overview

Definition

Examples

Conjectural information

Birch and Swinnerton-Dyer conjecture

Rise of the general theory

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L-function

Nodes83
Edges82
Triples78
Avg. degree1.98
Density0.024096
Components1

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L-function

Top relations

related to External links · 23
L-function → American Institute, April, Archived, August, Bristol, Creeping Up, EMS Press, Encyclopedia, February, Glimpses, Hunting, Julie, L-functions, Lavrik, LMFDB, March, Mathematics, Physorg, Rehmeyer, Retrieved August
related to Rise of the general theory · 9
L-function → Artin L-functions, Gradually, Hasse, Hecke L-functions, L-functions, Langlands, The, This, Weil
related to Dedekind L-functions · 8
L-function → Dedekind, Dedekind L-functions, Furthermore, Let, Re, The Dedekind L-function, The Riemann, Thus
related to Birch and Swinnerton-Dyer conjecture · 7
L-function → Bryan Birch, It, L-functions, Much, One, Peter Swinnerton-Dyer, This
related to Dirichlet L-functions · 7
L-function → Dirichlet, Dirichlet L-functions, Let, Riemann, The, They, While
related to Riemann Zeta Function · 7
L-function → Its Dirichlet, Iwaniec, Kowalski, Leonhard Euler, One, Riemann, The
related to Conjectural information · 4
L-function → K-theory, L-functions, One, Re
related to Iwaniec and Kowalski's Analytic Number Theory, 2004 · 4
L-function → However, L-functions, The, This
see also · 4
L-function → Generalized Riemann, L-functionAutomorphic L-functionModularity, L-functionsExplicit, L-functionsShimizu L-function
related to Definition · 2
L-function → As, Various

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Important terminology

displaystyle textstyle function mathbb dirichlet riemann l-functions zeta number euler called definition series also product analytic prime numbers re complex

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
L-functionis ameromorphic function on the complex plane0.90text
L-functionrelated to Birch and Swinnerton-Dyer conjectureOne0.60section
L-functionrelated to Birch and Swinnerton-Dyer conjectureL-functions0.60section
L-functionrelated to Birch and Swinnerton-Dyer conjectureBryan Birch0.60section
L-functionrelated to Birch and Swinnerton-Dyer conjecturePeter Swinnerton-Dyer0.60section
L-functionrelated to Birch and Swinnerton-Dyer conjectureIt0.60section
L-functionrelated to Birch and Swinnerton-Dyer conjectureMuch0.60section
L-functionrelated to Birch and Swinnerton-Dyer conjectureThis0.60section
L-functionrelated to Conjectural informationOne0.60section
L-functionrelated to Conjectural informationL-functions0.60section
L-functionrelated to Conjectural informationRe0.60section
L-functionrelated to Conjectural informationK-theory0.60section

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