Unit Fractions in Norm-Euclidean Rings of Integers
  In this paper we make a Gaussian integer version of the Erd\H{o}s-Straus conjecture and we solve the Erd\H{o}s-Straus diophantine equation over the rings of integers of norm-Euclidean quadratic fields. 
Kyle Bradford and Eugen J. Ionascu
math.NT