Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields 53 Formal Sciences May 9, 2022 University of Newcastle · Save to Favourites Florian Breuer discusses divisibility conditions on the multiplicative orders of elements of the form ζ + ζ − 1 in a finite field by exploiting a link to the arithmetic of real quadratic fields. Read the Study Image courtesy of interviewee Gauss periods