Category
page 1Cyclotomic fields
root of unity
complex number whose positive integer power equals one
Gaussian integer
complex number whose real and imaginary parts are both integers
Eisenstein integer
complex number whose mapping on a coordinate plane produces a triangular lattice
regular prime
Type of prime number
Iwasawa theory
study of objects of arithmetic interest over infinite towers of number fields
cyclotomic field
field extension of the rational numbers by a primitive root of unity
Gauss sum
sum
Kronecker–Weber theorem
theorem
Gaussian rational
complex number of the form p + qi, where p and q are both rational numbers
Quadratic Gauss sum
Sum type in number theory
Herbrand–Ribet theorem
theorem