Revision #489 → #1018 · back to history
addedArithmetic functionc3829f429611
addedDivisor function example6e789b46f5e6
addedCompletely additive function1d7a32f7573e
addedCompletely multiplicative function76e6ca9c3c5d
addedCoprime integers3f2873cf672b
addedAdditive functionbce87f71312a
addedMultiplicative function86d067f97adf
addedFundamental theorem of arithmeticaeae7ad942fe
addedp-adic valuation635060bb4a41
addedPrime omega functions ω and Ω8a671452bea0
addedDivisor sum σk(n)43e0d1fb22ae
addedSum of divisors σ(n)6fb7517f141e
addedNumber of divisors d(n)bb86b20cd6f4
addedEuler totient functiona105362cdad9
addedJordan totient function79af7ef4543c
addedMöbius function2e533723d0a5
addedμ(1) = 1a41b9be53dc9
addedRamanujan tau functiona96a55338d6e
addedRamanujan's sumcef4cba735d9
addedcq(n) multiplicative in q6c79187c6189
addedDedekind psi functionf73905033cff
addedLiouville function207e1166f4ed
addedDirichlet characters completely multiplicative041cc93a7b68
addedPrincipal character263c9198ede4
addedQuadratic character11a2ea3fc4d1
addedLegendre symbol6b1de991fa0c
addedω(n) is additive68de9d17b669
addedΩ(n) is completely additive22a996d477cb
addedνp(n) is completely additive3edf035f5367
addedLogarithmic derivativee9fba184bddd
addedPrime-counting function π(x)0f1c1f741c25
addedPrime-power counting function Π(x)b5e90849ccbe
addedChebyshev functionsbc136c9b1b4e
addedψ(x) is summation function of von Mangoldt14be109ce77f
addedVon Mangoldt function6b2f3a5ba8ea
addedPartition function673f353173e1
addedCarmichael function25f3f259a5fb
addedCarmichael function via Euler totient758687d72ca2
addedClass number functione03c9774e6b8
addedSum of k squares rk(n)0f3dfcf45ebf
addedArithmetic derivative35b0fbb67b33
addedSummation function7e465ce258e1
addedDivisor summatory function98d654c159e2
addedAverage order71dcc2ee45ed
addedAverage order of d(n)c0e0cb584677
addedGenerating function / Dirichlet series0390b607a84b
addedGenerating function of Möbius is 1/ζ5ab1ed367979
addedDirichlet convolution03ed2086aab5
addedConvolution with constant function9ad1510923af
addedMöbius inversion formula743f1534a081
addedConvolution preserves multiplicativity4ece54961d78
addedLagrange's four-square theorema2ee8975460b
addedKronecker symbol values for r2d350dbecc735
addedSum of squares formula6b9f61a68fe2
addedFunction σ*k(n)a7649a980da5
addedCauchy product / convolution of sequencesf63c5ec1a6c0
addedPartition recurrence862e46fe4220
addedDirichlet class number formulasb3c6899ca165
addedFundamental discriminantaf098612bded
addedKronecker symbol extensiona359df4da117
addedClass number formula for D < −49be0f13239f5
addedFormula relating r3 and h48ac6a99ffe6
addedLagarias criterion for RH83c38dafb9f0
addedRobin's theorem74e9aeab73b2
addedMenon's identity8ce036d0bb9d
addedSury's generalization0ec81021696d
addedRao's generalizationdbda0d6e9169
addedFejes Tóth generalizationfd4a3974721e
addedMenon identity for general f2b9b5d2ecd23
addedQuadratic reciprocity for Jacobi symbolfcf3a25aca9d
addedLogarithmic derivative identity111107004f28
addedLiouville function identitiesde5bab44d5d6
addedCarmichael function identitiesb8a427f5887b
addedSum-of-cubes comparison identity08f42f02e153