Preprint / Version 0

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 $4π^2$.

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Posted

2025-10-28