Ankeny–Artin–Chowla congruence

Ankeny–Artin–Chowla congruence   (Redirected from Ankeny–Artin–Chowla theorem) Jump to navigation Jump to search In number theory, the Ankeny–Artin–Chowla congruence is a result published in 1953 by N. C. Ankeny, Emil Artin and S. Chowla. It concerns the class number h of a real quadratic field of discriminant d > 0. If the fundamental unit of the field is {displaystyle varepsilon ={frac {t+u{sqrt {d}}}{2}}} with integers t and u, it expresses in another form {displaystyle {frac {ht}{u}}{pmod {p}};} for any prime number p > 2 that divides d. In case p > 3 it states that {displaystyle -2{mht over u}equiv sum _{0

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