Regularized products of Gauss and Eisenstein integers and primes
Authors
P. L. Krapivsky
J. M. Luck
Abstract
We provide heuristic computations à la Euler of the regularized infinite products of Gauss and Eisenstein integers and primes. Our approach, yielding explicit expressions, is inspired by the work by Muñoz García and Pérez-Marco, who evaluated the product of all natural primes to $4π^2$.