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Lambda calculusLogarithmic integral functionLambda calculus definitionDirichlet convolutionLerch zeta functionPolylogarithmCauchy's integral formulaKronecker deltaEuler's formulaKoenigs functionPolylogarithmic functionBeta functionLaplace's methodLocally integrable functionLiouville's equationSpecial values of l-functionsParseval's identityLaplace operatorLogarithmic derivativeLaplace's equationAlgebraic functionHurwitz zeta functionGaussian integralLipschitz continuityTrigamma functionLegendre transformationDivisor functionD'alembert's equationLegendre's formulaLebesgue's number lemmaMultivariate gamma functionFunctional calculusMathieu functionL-functionLiouville field theoryPythagorean trigonometric identityOmega functionRamanujan's sumDarboux integralMultiplicative functionLegendre's constantRamanujan theta functionLambert w functionDirichlet kernelDirichlet l-functionDifferential operatorEuler's criterionAbel's theoremLeibniz integral ruleLanczos approximationClass number formulaRiemann zeta functionGaussian functionChampernowne constantDarboux's theoremRiemann xi functionDerivationGamma functionCayley's formulaChurch encodingPentagonal number theoremLaguerre's methodIndex calculus algorithmLaplace distributionLagrange inversion theoremTyped lambda calculusOutline of calculusMaclaurin's inequalityTukey lambda distributionDivisor summatory functionStirling's approximationIntegro-differential equationMittag-leffler functionSerre spectral sequenceShift operatorComplex logarithmMultiple zeta functionPascal's ruleLength functionEuler's constantKronecker symbolP-adic analysisDifferential equationOperator theoryAbel's summation formulaBounded inverse theoremPower ruleEuler's identityRiemann sumSchur decompositionPrime zeta functionKakutani fixed-point theoremSpecial linear lie algebraGraph fourier transformHelmholtz equationArithmetic derivativeDirichlet's unit theoremPoisson summation formulaFaulhaber's formulaLandau distribution