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Algebraic number theoryGeometry of numbersNumber theoryDivisor functionSpecial values of l-functionsAnalytic number theoryDivisor summatory functionClass field theoryQuadratic integerSpecial number field sieveDirichlet convolutionDiophantine approximationInteger factorizationMultiple zeta functionCyclotomic fieldEuler's totient functionAdditive number theoryLifting-the-exponent lemmaAliquot sumMultiplicative functionAlgebraic integerNumber-theoretic functionPrime number theoremAlgebraic number fieldEuler's criterionTheta functionP-adic valuationHarmonic numberLerch zeta functionArithmetic combinatoricsMapping class groupFermat pseudoprimeNatural densityNumerical integrationQuadratic reciprocityDedekind zeta functionEuler productPerfect totient numberMathematicsArithmetic derivativeLinking numberTranscendental number theoryLength functionP-adic analysisNumerical analysisBeta functionInteger complexityIntegralQuadratic fieldMathematical analysisSylvester's sequenceDirichlet's approximation theoremSymbolIdeal class groupSingular integralCartan decompositionPrimitive element theoremPrime zeta functionPentagonal number theoremSum of two squares theoremFundamental theorem of arithmeticPartition functionPartitionRamanujan theta functionFractional idealMultiplication theoremEuler's continued fraction formulaDiophantine geometryCalculus of variationsKronecker symbolGaussian integerRamanujan's sumHurwitz zeta functionRiemann zeta functionRational pointLarge cardinalArithmetic geometryTotal variation diminishingHigher arithmeticRing of integersQuotient ruleAxiom of infinitySpecial linear groupIntegro-differential equationOutline of mathematicsDivisibility sequenceQuantum field theoryKronecker deltaIntersection theoryEuler's formulaDerivationMinkowski spaceProofs of quadratic reciprocityCoarea formulaDifferential equationRiemann xi functionGeneralizations of the derivativeSubharmonic functionDiophantine equationAlgebraic number