A Gaussian period is a sum of roots of unity indexed by a multiplicative coset in the group of nonzero residues modulo a prime number. Such sums describe subfields of a cyclotomic field and occur as values of induced characters of certain semidirect products.
A Gaussian period is a mathematical concept that arises in number theory, specifically in the study of algebraic integers within cyclotomic fields. In particular, a Gaussian period is associated with the Gaussian integers, which are complex numbers of the form \( a + bi \), where \( a \) and \( b \) are integers and \( i \) is the imaginary unit.
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