Affiliation:
1. School of Mathematics Korea Institute for Advanced Study Seoul Republic of Korea
2. Center for Quantum Structures in Modules and Spaces Seoul National University Seoul Republic of Korea
Abstract
AbstractLifting problem for universal quadratic forms asks for totally real number fields that admit a positive definite quadratic form with coefficients in that is universal over the ring of integers of . In this paper, we show is the only such totally real cubic field. Moreover, we show that there is no such biquadratic field.
Funder
National Research Foundation of Korea