On the Mean Square of the Error Term For Dedekind Zeta Functions

Resumo

Let K_n be a number field of degree n over ℚ. By D(x,K_n) denote the number of all nonzero integral ideals in K_n with norm ≤ x. The Dedekind zeta function ζK_n(s) is a meromorphic function with a simple pole at s = 1 and with residue, say, Λ_n. Define