For a cubic algebraic extension K of Q, the behavior of the ideal counting function is considered in this paper. More precisely, let aK(n) be the number of integral ideals of the field K with norm n, we prove an asy...For a cubic algebraic extension K of Q, the behavior of the ideal counting function is considered in this paper. More precisely, let aK(n) be the number of integral ideals of the field K with norm n, we prove an asymptotic formula for the sum.展开更多
文摘For a cubic algebraic extension K of Q, the behavior of the ideal counting function is considered in this paper. More precisely, let aK(n) be the number of integral ideals of the field K with norm n, we prove an asymptotic formula for the sum.