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Quadratic reciprocityIsomorphism theoremsStickelberger's theoremModular formClass field theoryTietze extension theoremLefschetz hyperplane theoremModular curveAlgebraic number fieldCartan decompositionFrobenius normal formIntersecting chords theoremSchanuel's conjecturePentagonal number theoremModulusHurewicz theoremEuler's theoremGroup of lie typeNakayama's lemmaDrinfeld moduleRational root theoremSimons' formulaEuler's formulaMusical isomorphismLatticeLefschetz fixed-point theoremRiemannian geometryDarboux's theoremDirichlet's approximation theoremComplex multiplicationEuler's criterionElliptic-curve cryptographyModular groupMin-max theoremAlgebraic number theoryClosed graph theoremRepresentation theoryLemniscate elliptic functionsHilbert's syzygy theoremPrimary decompositionClosed-subgroup theoremTangent spaceGradient theoremCoarea formulaGalois groupPontryagin dualityModuli of algebraic curvesSoul theoremPythagorean trigonometric identityFrobenius endomorphismCyclotomic fieldPrimitive element theoremModular multiplicative inverseGalois cohomologyGeometric group theoryLie's third theoremFundamental groupHilbert's basis theoremCauchy's integral theoremSum of two squares theoremEuclidean domainFrobenius algebraRational pointAdjunction formulaRational functionPappus's centroid theoremFaltings's theoremLiouville field theoryOsculating planeSpectral graph theoryLevi decompositionDifferential formHensel's lemmaHodge conjectureShimura varietyLie algebra representationElliptic functionArtin reciprocity lawRamanujan's master theoremSchur product theoremAbelian varietyDirac equation in curved spacetimeSupersingular elliptic curveAffine groupTriple product ruleAlgebraic combinatoricsCotangent complexOstrowski's theoremPolynomial ringEisenstein's criterionSelberg trace formulaOseledets theoremSupersingular isogeny graphArchimedean propertyExcision theoremFactorization of polynomialsArithmetic groupFundamental theorem of calculusElliptic integralModuli space