Bhargava, Manjul On the Conway-Schneeberger Fifteen Theorem. (English) Zbl 0987.11027 Bayer-Fluckiger, Eva (ed.) et al., Quadratic forms and their applications. Proceedings of the conference, University College Dublin, Ireland, July 5-9, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 272, 27-37 (2000). The Conway-Schneeberger Fifteen Theorem says: If a positive-definite quadratic form having integer matrix represents every number below 15, then it represents every number above 15. The paper gives a proof of this theorem, simplifying the original unpublished arguments of Conway and Schneeberger.For the entire collection see [Zbl 0956.00036]. Reviewer: Meinhard Peters (Münster) Cited in 11 ReviewsCited in 65 Documents MSC: 11E12 Quadratic forms over global rings and fields Keywords:universal quadratic forms; Conway-Schneeberger fifteen theorem PDFBibTeX XMLCite \textit{M. Bhargava}, Contemp. Math. 272, 27--37 (2000; Zbl 0987.11027) Online Encyclopedia of Integer Sequences: Numbers from the Conway-Schneeberger 15-theorem. Number of ”escalator” lattices in dimension n.