JournalscmhVol. 75 , No. 3DOI 10.1007/s000140050133

Universal octonary diagonal forms over some real quadratic fields

  • B. M. Kim

    Kangnung National University, Kangwon-Do, South Korea
Universal octonary diagonal forms over some real quadratic fields cover

Abstract

In this paper, we will prove there are infinitely many integers n such that n2 -- 1 is square-free and Q(n21)\Bbb Q(\sqrt {n^2-1}) admits universal octonary diagonal quadratic forms.