Hasse–Weil zeta function
In mathematics, the Hasse–Weil zeta function attached to an algebraic variety V defined over an algebraic number field K is one of the two most important types of L-function. Such L-functions are called 'global', in that they are defined as Euler products in terms of local zeta functions. They form one of the two major classes of global L-functions, the other being the L-functions associated to automorphic representations. Conjecturally, there is just one essential type of global L-function, with two descriptions (coming from an algebraic variety, coming from an automorphic representation); this would be a vast generalisation of the Taniyama–Shimura conjecture, itself a very deep and recent result (as of 2009) in number theory.
Arithmetic of abelian varietiesArithmetic zeta functionBirch and Swinnerton-Dyer conjectureBryan John BirchChristopher SkinnerComplex multiplication of abelian varietiesDedekind zeta functionEichler–Shimura congruence relationElliptic curveEric UrbanField with one elementFunctional equation (L-function)Glossary of arithmetic and diophantine geometryGrothendieck trace formulaHasse-Weil L-functionHasse-Weil conjectureHasse-Weil zeta-functionHasse-Weil zeta functionHasse–Weil L-functionHasse–Weil conjectureHasse–Weil zeta-functionHecke characterHelmut HasseHilbert's twelfth problemHochschild homologyJacobi sumL-functionL-series of an elliptic curveList of algebraic number theory topicsList of things named after André WeilList of zeta functionsLocal zeta functionMain conjecture of Iwasawa theoryModular elliptic curveModularity theoremMotivic L-functionRobert LanglandsSelberg trace formulaShimura varietyTate conjecture
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Hasse–Weil zeta function
In mathematics, the Hasse–Weil zeta function attached to an algebraic variety V defined over an algebraic number field K is one of the two most important types of L-function. Such L-functions are called 'global', in that they are defined as Euler products in terms of local zeta functions. They form one of the two major classes of global L-functions, the other being the L-functions associated to automorphic representations. Conjecturally, there is just one essential type of global L-function, with two descriptions (coming from an algebraic variety, coming from an automorphic representation); this would be a vast generalisation of the Taniyama–Shimura conjecture, itself a very deep and recent result (as of 2009) in number theory.
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Em matemática, a função zeta d ...... tem sido demonstrada em geral.
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En matemática, la función zeta ...... de la función zeta de Riemann.
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En mathématiques, la fonction ...... pas été démontrée en général.
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In de algebraïsche getaltheori ...... wezen voor het algemene geval.
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In mathematics, the Hasse–Weil ...... (as of 2009) in number theory.
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Дзета-функция Хассе-Вейля — ан ...... чек этой эллиптической кривой.
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ハッセ・ヴェイユのゼータ函数（英: Hasse–Weil z ...... ) により完成され、函数等式自体は一般的に証明されていない。
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Em matemática, a função zeta d ...... (2004) na teoria dos números.
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En matemática, la función zeta ...... 2004) en la teoría de números.
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En mathématiques, la fonction ...... 04) de la théorie des nombres.
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In de algebraïsche getaltheori ...... et automorfe representaties. ,
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In mathematics, the Hasse–Weil ...... (as of 2009) in number theory.
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Дзета-функция Хассе-Вейля — ан ...... чек этой эллиптической кривой.
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ハッセ・ヴェイユのゼータ函数（英: Hasse–Weil z ...... による乗法のみを除外して well-defined である。
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Fonction zêta de Hasse-Weil
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Función zeta de Hasse-Weil
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Função zeta de Hasse-Weil
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Hasse-Weil-zèta-functie
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Hasse–Weil zeta function
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Дзета-функция Хассе — Вейля
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ハッセ・ヴェイユのゼータ函数
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하세-베유 제타 함수
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