A Class Number Formula for Certain Quartic Fields |
Common terms and phrases
2bCD abelian extension aD² Albert Appealing Berndt Carleton University character mod character mod q class number formula class number h(K completes the proof complex conjugate compute h(K cyclic field defined Denoting the fundamental Department of Mathematics Dirichlet's discriminant Edgar and Peterson evaluate the quantities explicit formula extension of Q field with G(K/Q Fields Richard H formula for h(K fundamental unit G₁ G₁₂ G₂ Hence Hudson and Kenneth identity of Cauchy integers log E|² Mathematics and Statistics mod 2b mod q modulo non-principal characters notation obtain Peterson 11 possesses a unique possibility in 3.4 prime proof of Theorem QD² Quartic Fields Richard regulator R(K result of Edgar Richard H right-hand side root of unity second possibility small values South Carolina subgroup sums Table of Class unique quadratic subfield University of South values given values of q X₁ X₂