quadratic field in a sentence
Examples
- These modular forms, for real quadratic fields, were first treated in the 1901 G�ttingen University " Habilitationssschrift " of Otto Blumenthal.
- The rank is > 0 for all number fields besides "'Q "'and imaginary quadratic fields, which have rank 0.
- Binary quadratic forms have been extensively studied in number theory, in particular, in the theory of quadratic fields, continued fractions, and modular forms.
- For example, the length of primitive closed geodesics in the modular surface corresponds to the absolute value of units of norm one in real quadratic fields.
- Based on his research of the structure of the unit group of quadratic fields, he proved the Dirichlet unit theorem, a fundamental result in algebraic number theory.
- *PM : quadratic fields that are not isomorphic, id = 8458 new !-- WP guess : quadratic fields that are not isomorphic-- Status:
- *PM : quadratic fields that are not isomorphic, id = 8458 new !-- WP guess : quadratic fields that are not isomorphic-- Status:
- According to Galois theory, there must be three quadratic fields contained in " K ", since the Galois group has three subgroups of index 2.
- This is the case for which the quadratic field contained in the Galois closure of " K " is the cyclotomic field of cube roots of unity.
- Here ? is the quadratic residue symbol modulo " D ", where " " D " is the discriminant of an imaginary quadratic field.