  Let f be an entire function of finite order less than 1. The maximum modulus
M(r) of f and the counting function of the zeros N(r) are connected by a best
possible growth inequality known as Valiron's Theorem:
  For functions subharmonic in d-dimensional Euclidean space, Hayman obtained a
corresponding result with a best possible constant involving the dimension d.
For the special case of an entire function on d-dimensional complex space, we
obtain a corresponding dimension-free, best possible inequality.
