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Lagrange inversion theoremFundamental theorem of arithmeticFormal derivativeDivisor functionAnalytic number theoryDarboux integralAlgebraic number theoryNumber theoryIntegration by partsProduct ruleDistributionGeneralizations of the derivativeQuadratic reciprocityLogarithmic derivativeFractal derivativeNumber-theoretic functionPrimorialNumerical differentiationChain ruleInverse function ruleP-adic numberQuotient rulePythagorean trigonometric identityLagrange's identityDerivationAlgebraic analysisClass number formulaTrapezoidal ruleP-adic analysisDirichlet's approximation theoremSpecial values of l-functionsPrime number theoremArgument principleEuler's formulaAntiderivativeFractional calculusArithmetic geometryEuclidean algorithmPrime elementAliquot sumNumerical integrationDiophantine geometryDifferintegralLindemann-weierstrass theoremDirect comparison testDivisor summatory functionRiemann-stieltjes integralClass field theoryNumerical analysisEuler productEuler's criterionRamanujan theta functionCoarea formulaMultiplicative functionHypercomplex analysisMathematical analysisLogarithmic normFundamental theorem of calculusPrime-counting functionRational functionNatural densityLegendre's constantLerch zeta functionMatrix differential equationDifferentialDirichlet convolutionSieve of sundaramInteger factorizationLebesgue differentiation theoremAlgebraic functionLaplace operatorCalculus on euclidean spaceParseval's identityMulti-index notationBeta functionSum of two squares theoremLogarithmic differentiationDiophantine approximationLegendre transformationTranscendental number theoryIntegral calculusFinite difference methodRamanujan's master theoremOrdinary differential equationLegendre symbolLambert w functionAlgebraic expressionArithmetic groupInterior productProbability-generating functionHyperbolic functionIntegralPartial derivativeConjugate gradient methodIdeal class groupFactorization of polynomialsPythagorean additionTotal derivativeFunctional derivativeIntegro-differential equation