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Dirichlet's approximation theoremAntiderivativeDirichlet functionFunction of a real variableComplex numberMatrix pencilPositive linear functionalHolomorphic functionDirichlet conditionsComplex measureSquare-integrable functionArithmetic derivativeDirichlet-multinomial distributionSelberg trace formulaDirichlet energyArithmetic functionAlgebraic numberAlgebraic number fieldRegular singular pointBanach latticeEuler's criterionCauchy's integral theoremDarboux integralDirichlet convolutionAlgebraic integerIdentity theoremSingular valueNumber-theoretic functionAlgebraic elementBergman spaceTopological vector spaceDirichlet eta functionAbelian varietyCompact operatorSet functionGeneralized continued fractionIdeal class groupDedekind eta functionDirichlet problemDirichlet distributionStieltjes transformationHypercomplex analysisTrigonometric polynomialBanach algebraRoot of unity modulo nPontryagin dualityCharacteristic functionMultiple integralComplex random variableLefschetz fixed-point theoremLambert w functionLinear formAdditive functionComplex differential formDini's theoremArgument principleRational functionRiemann zeta functionProbability measureResidueFunctionalExplicit formulae for l-functionsPartitionMeromorphic functionCharacter groupSingular measureDivisor functionAlgebraic functionSchwarz reflection principleDirichlet seriesComplexificationBranch pointRiesz transformComplex analysisResolvent formalismAutomorphic formSimple functionEisenstein integerBinomial typeFractional calculusD'alembert's formulaLindemann-weierstrass theoremGraph of a functionEuclidean domainModular arithmeticDefinite matrixEuler's theoremComplemented subspaceHilbert symbolFunctional analysisTauberian theoremCompact operator on hilbert spaceElementary functionDual spaceSturm's theoremBessel's inequalityAlgebraic expressionPovmEigenfunctionPrime element