3 articles
Gauss sum
A Gauss sum, or Gaussian sum, is a finite sum pairing a multiplicative character with an additive character, studied by Carl Friedrich Gauss in 1801.
Hilbert's twelfth problem
Hilbert's twelfth problem, also known as Kronecker's Jugendtraum, was posed by David Hilbert in 1900 and asks for explicit constructions of all abelian extensions of a number field.
Kronecker–Weber theorem
The Kronecker–Weber theorem, sometimes called the Kronecker–Weber–Hilbert theorem, states that every finite abelian extension of the rationals lies inside a cyclotomic field, an early result of class field theory proved by Hilbert in 1896.