Earnest, A. G.; Estes, Dennis R. An algebraic approach to the growth of class numbers of binary quadratic lattices. (English) Zbl 0465.10014 Mathematika 28, 160-168 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 3 Documents MSC: 11E41 Class numbers of quadratic and Hermitian forms 11E12 Quadratic forms over global rings and fields 11R80 Totally real fields 11R11 Quadratic extensions Keywords:binary quadratic form; class number; spinor genus; quadratic field extension; finiteness of number of isometry classes; isotropic binary lattices; totally real algebraic number field of class number one Citations:Zbl 0408.10013; Zbl 0397.10011 PDFBibTeX XMLCite \textit{A. G. Earnest} and \textit{D. R. Estes}, Mathematika 28, 160--168 (1981; Zbl 0465.10014) Full Text: DOI Online Encyclopedia of Integer Sequences: Negative discriminants with form class group of exponent 4 (negated). References: [1] DOI: 10.1016/0022-314X(73)90012-7 · Zbl 0268.10010 · doi:10.1016/0022-314X(73)90012-7 [2] Hasse, Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper (1965) · doi:10.1007/978-3-662-39429-8 [3] DOI: 10.1093/qmath/os-5.1.304 · Zbl 0010.33705 · doi:10.1093/qmath/os-5.1.304 [4] DOI: 10.2307/2037547 · Zbl 0252.12002 · doi:10.2307/2037547 [5] Weinberger, Acta Arith. 22 pp 117– (1973) [6] DOI: 10.1007/BF01405166 · Zbl 0278.12005 · doi:10.1007/BF01405166 [7] Shyr, J. reine angew. Math. 307 pp 353– (1979) [8] DOI: 10.1016/0022-314X(72)90027-3 · Zbl 0265.12001 · doi:10.1016/0022-314X(72)90027-3 [9] DOI: 10.1016/0022-314X(79)90038-6 · Zbl 0408.10013 · doi:10.1016/0022-314X(79)90038-6 [10] Pfeuffer, Acta Arith. 34 pp 103– (1978) [11] DOI: 10.1016/0022-314X(71)90011-4 · Zbl 0218.12012 · doi:10.1016/0022-314X(71)90011-4 [12] Peters, Acta Arith. 36 pp 271– (1980) [13] DOI: 10.1007/BF01360862 · Zbl 0331.12009 · doi:10.1007/BF01360862 [14] DOI: 10.1007/BF01226073 · Zbl 0371.12016 · doi:10.1007/BF01226073 [15] O’Meara, Introduction to Quadratic Forms (1973) · doi:10.1007/978-3-662-41922-9 [16] DOI: 10.1007/BF01389854 · doi:10.1007/BF01389854 [17] DOI: 10.1112/plms/s3-40.1.40 · Zbl 0397.10011 · doi:10.1112/plms/s3-40.1.40 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.