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Hecke operator

In mathematics, in particular in the theory of modular forms, a Hecke operator, studied by Erich Hecke (1937a,1937b), is a certain kind of "averaging" operator that plays a significant role in the structure of vector spaces of modular forms and more general automorphic representations.

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Hecke algebras

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Hecke operator

Nodes42
Edges41
Triples75
Avg. degree1.95
Density0.047619
Components1

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Hecke operator

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related to References · 41
Hecke operator → Apostol, Berlin, BF01594160, BF01594180, Cambridge Philosophical Society, Dirichlet, Dirichletschen Reihen, Don Zagier, Elliptic Modular Forms, EMS Press, Encyclopedia, Eulerscher Produktentwicklung, German, Hecke, II, ISBN, ISSN, JFM, Lock-gray-alt-2, Lock-green
related to Hecke algebras · 17
Hecke operator → Algebras, Dirichlet, Each, Euler, Hecke, In, It, Mellin, Mordell, More, Other, Petersson, Ramanujan, Ramanujan's, The, Therefore, These
related to Explicit formula · 7
Hecke operator → Fourier, Gamma, Given, Hecke, Let, SL, This
related to history · 5
Hecke operator → Adolf Hurwitz, Hecke, Mordell, Ramanujan, The
related to Mathematical description · 5
Hecke operator → For, Hecke, Lambda, Modular, The

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hecke modular operators forms textstyle weight form mordell given displaystyle cusp theory operator algebras respect group 1937a 1937b ramanujan formula

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hecke operatorrelated to Explicit formulaLet0.60section
Hecke operatorrelated to Explicit formulaGamma0.60section
Hecke operatorrelated to Explicit formulaSL0.60section
Hecke operatorrelated to Explicit formulaGiven0.60section
Hecke operatorrelated to Explicit formulaHecke0.60section
Hecke operatorrelated to Explicit formulaFourier0.60section
Hecke operatorrelated to Explicit formulaThis0.60section
Hecke operatorrelated to Hecke algebrasAlgebras0.60section
Hecke operatorrelated to Hecke algebrasHecke0.60section
Hecke operatorrelated to Hecke algebrasIn0.60section
Hecke operatorrelated to Hecke algebrasPetersson0.60section
Hecke operatorrelated to Hecke algebrasTherefore0.60section

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