invphi(n) |
computes all solutions to the
equation eulerphi(x)=n with respect to x
|
invphiNum(n) |
equivalent to but faster than
#invphi(n) |
invphiMin(n) |
equivalent to but faster than
vecmin(invphi(n)) |
invphiMax(n) |
equivalent to but faster than vecmax(invphi(n)) |
invsigma(n,k) |
computes all solutions to the equation sigma(x,k)=n
with respect to x. If k is
omitted, it's assumed that k=1 |
invsigmaNum(n,k) |
equivalent to but faster than #invsigma(n,k) |
invsigmaMin(n,k) |
equivalent to but faster than vecmin(invsigma(n,k)) |
invsigmaMax(n,k) |
equivalent to but faster than vecmax(invsigma(n,k)) |
invphitau(n,m) |
computes all solutions to the system {
eulerphi(x)=n, numdiv(x)=m } with respect to x |