Hardy, Kenneth; Williams, Kenneth S. The square root of an ambiguous form in the principal genus. (English) Zbl 0790.11030 Proc. Edinb. Math. Soc., II. Ser. 36, No. 1, 145-150 (1993). A square root of an ambiguous form in the principal genus of primitive integral binary quadratic forms of fixed discriminant is given explicitly in terms of a solution of a certain Legendre equation. Reviewer: W.G.Nowak (Wien) Cited in 1 Document MSC: 11E16 General binary quadratic forms Keywords:square root of a form; ambiguous form; principal genus; binary quadratic forms PDFBibTeX XMLCite \textit{K. Hardy} and \textit{K. S. Williams}, Proc. Edinb. Math. Soc., II. Ser. 36, No. 1, 145--150 (1993; Zbl 0790.11030) Full Text: DOI References: [1] Williams, Utilitas Math. 34 pp 65– (1988) [2] Gauss, Disquisitiones Arithmeticae (1966) [3] Buell, Binary Quadratic Forms (1989) · doi:10.1007/978-1-4612-4542-1 [4] DOI: 10.2307/2004351 · Zbl 0227.12002 · doi:10.2307/2004351 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.