Universal octonary diagonal forms over some real quadratic fields

B. M. Kim
2000 Commentarii Mathematici Helvetici  
In this paper, we will prove there are infinitely many integers n such that n 2 − 1 is square-free and Q( √ n 2 − 1) admits universal octonary diagonal quadratic forms. (2000) . Primary 11E12, Secondary 11E20. Mathematics Subject Classification
doi:10.1007/s000140050133 fatcat:a7nh26k66fec5eksn4gpeka6ii