Revision #373 → #1205 · back to history
addedEuler's totient function1b627caa1ac5
addedTotatives of 98f21aee730b9
addedMultiplicativity of phic7e9a1f0a3d5
addedCototient1744ba72c81e
addedEuler's product formula956f8470185f
addedEquivalent product formulationf40a4e5b4485
addedPhi is multiplicativecfab85cf88cb
addedPhi of a prime powere9951869e022
addedphi(20) computation94b9f491ce17
addedTotient as Fourier transform of gcd2deac2afdc91
addedGauss divisor sum identity404254f8c7d6
addedMöbius inversion of divisor sum49c8233e3103
addedMöbius function292c91cce01a
addedUpper and lower bounds for phi(n)b4f9b5e3d8b2
addedEuler's theorem779cdcca2026
addedParity and divisibility of phi(n)275a2c24dd4d
addedDivisibility of phi(a^n - 1)589e39fa0f2d
addedMenon's identityee045a080fb9
addedDivisibility by any fixed positive integerf7e289093c2c
addedDirichlet series for phi705ea8fec4ad
addedLambert series generating functionae7eb29a44bf
addedGrowth: limsup phi(n)/n^(1-delta)63fa1c4f68fe
addedInequality between phi and sigma1cb37e4cdf9a
addedLiminf phi(n) log log n / n676537bec582
addedNicolas inequalitydab20dfaca63
addedWalfisz average orderb5b7f4b9a789
addedLiu's improved error termdb6c56f9a6ae
addedCoprimality probability3ccbaa828c0e
addedSomayajulu's result264ac90bf471
addedSchinzel–Sierpiński densityf6732a09af5b
addedTotient number and nontotientf7adb7c9ff53
addedCount of totient numbers up to x527001ac1034
addedCount with multiplicity69be80828212
addedMultiplicity lower bound9036417b0d57
addedFord's theoremb704f65058ab
addedPerfect totient number98607a64a9cd
addedGauss constructibility criterion4b4f24a3cdeb
addedRegular n-gon constructionef8a7aadeda8
addedRSA cryptosystem9e9449768911
addedLehmer's conjecture4f5211c4fac1
addedLehmer's lower bounds67e872ea55ae
addedCarmichael's conjecture0a36052b8bf3
addedRiemann hypothesis equivalence3523c5506ec1