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A mean value theorem for cubic fields |
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| Authors: | RC Vaughan |
| Institution: | Department of Mathematics, McAllister Building, Pennsylvania State University, University Park, PA 16802, USA |
| Abstract: | Let r(n) denote the number of integral ideals of norm n in a cubic extension K of the rationals, and define  and Δ(x)=S(x)−αx where α is the residue of the Dedekind zeta function ζ(s,K) at 1. It is shown that the abscissa of convergence of |
| Keywords: | Gauss lattice point problem Dedekind zeta function Mean value theorem Integral ideals Cubic fields |
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