Real quadratic fields admitting universal lattices of rank7

2020/06/27 by Kim, Byeong Moom, KIm, Myung-Hwan, Park, Dayoon
#11E12 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2006.15361

Abstract

In this paper, we will prove that if d is sufficiently large square-free positive rational integer, then there is no integral septenary universal quadratic lattice over O_F where F=\mathbb Q(√(d)).

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