Special values of L-functions
In mathematics, the study of special values of L-functions is a subfield of number theory devoted to generalising formulae such as the Leibniz formula for pi, namely by the recognition that expression on the left-hand side is also L(1) where L(s) is the Dirichlet L-function for the Gaussian field. This formula is a special case of the analytic class number formula, and in those terms reads that the Gaussian field has class number 1, and also contains four roots of unity, so accounting for the factor ¼.
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Beilinson-Bloch-Kato conjectureBeilinson conjectureBeilinson conjecturesBeilinson–Bloch–Kato conjectureBloch-Beilinson conjecturesBloch-Kato conjecture (L-functions)Bloch-Kato conjecture on Tamagawa numbersBloch-Kato conjecture on special values of L-functionsBloch–Beilinson conjecturesBloch–Kato conjecture (L-functions)Deligne's conjecture (L-functions)Deligne conjecture on special values of L-functionsEquivariant Tamagawa Number ConjectureEquivariant Tamagawa number conjectureSpecial values of zeta functionsTamagawa number conjectureValues of L-functions
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Algebraic K-theoryAlgebraic number fieldAnnette Huber-KlawitterBeilinson-Bloch-Kato conjectureBeilinson conjectureBeilinson conjecturesBeilinson regulatorBeilinson–Bloch–Kato conjectureBernoulli numberBloch-Beilinson conjecturesBloch-Kato conjecture (L-functions)Bloch-Kato conjecture on Tamagawa numbersBloch-Kato conjecture on special values of L-functionsBloch–Beilinson conjecturesBloch–Kato conjecture (L-functions)Chow groupChristopher DeningerCristian Dumitru PopescuDeligne's conjecture (L-functions)Deligne cohomologyDeligne conjecture on special values of L-functionsDirichlet's unit theoremDirichlet L-functionEquivariant Tamagawa Number ConjectureEquivariant Tamagawa number conjectureGlossary of arithmetic and diophantine geometryHarald GrobnerJacques TilouineJürgen NeukirchKazuya KatoL-functionL-valueList of conjecturesList of unsolved problems in mathematicsMatthias Flach (mathematician)Motivic L-functionMotivic cohomologyNorm residue isomorphism theoremP-adic L-functionPierre Deligne
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Special values of L-functions
In mathematics, the study of special values of L-functions is a subfield of number theory devoted to generalising formulae such as the Leibniz formula for pi, namely by the recognition that expression on the left-hand side is also L(1) where L(s) is the Dirichlet L-function for the Gaussian field. This formula is a special case of the analytic class number formula, and in those terms reads that the Gaussian field has class number 1, and also contains four roots of unity, so accounting for the factor ¼.
has abstract
In mathematics, the study of s ...... o accounting for the factor ¼.
@en
数学において、L-函数の特殊値 の研究は、数論の一分野であり ...... て、特別なケースについてのみ成立することしか知られていない。
@ja
수학에서 L-함수의 특별한 값은 원주율 에 대한 라이프 ...... 일종의 특수한 값의 정보를 보여준다. : 카탈랑 상수
@ko
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id
K/k055000
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b/b110220
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title
Beilinson conjectures
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K-functor in algebraic geometry
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subject
comment
In mathematics, the study of s ...... o accounting for the factor ¼.
@en
数学において、L-函数の特殊値 の研究は、数論の一分野であり ...... て、特別なケースについてのみ成立することしか知られていない。
@ja
수학에서 L-함수의 특별한 값은 원주율 에 대한 라이프 ...... 일종의 특수한 값의 정보를 보여준다. : 카탈랑 상수
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label
L-函数の特殊値
@ja
L-함수의 특별한 값
@ko
Special values of L-functions
@en