Multiplicative Number Theory
Building on its broad strengths in mathematics in general, and in special functions in particular,
Mathematica provides a unique level of support for multiplicative number theory, including not only highly general function evaluation, but also symbolic simplification.
Zeta — Riemann zeta function
DirichletL — Dirichlet L-functions
DirichletTransform — Dirichlet transform of an arbitrary sequence
DirichletCharacter — Dirichlet character
DivisorSigma —divisor-sum function
PrimePi — the number of primes up to
n
DivisorSum — compute a sum over divisors
DirichletConvolve — Dirichlet convolution of sequences
