The representation of a pair of integers by a pair of positive-definite binary quadratic forms
HTML articles powered by AMS MathViewer
- by Kenneth Hardy, Pierre Kaplan and Kenneth S. Williams PDF
- Proc. Amer. Math. Soc. 105 (1989), 847-855 Request permission
Abstract:
An explicit formula is given for the number of representations of a pair of positive integers by a representative set of inequivalent pairs of integral positive-definite binary quadratic forms with given invariants.References
- P. G. Lejeune Dirichlet, Vorlesungen รผber Zahlentheorie, Chelsea Publishing Co., New York, 1968 (German). Herausgegeben und mit Zusรคtzen versehen von R. Dedekind; Vierte, umgearbeitete und vermehrte Auflage. MR 0237283
- Kenneth Hardy and Kenneth S. Williams, The class number of pairs of positive-definite binary quadratic forms, Acta Arith. 52 (1989), no.ย 2, 103โ117. MR 1005598, DOI 10.4064/aa-52-2-103-117
- Christopher Hooley, On the Diophantine equation $ax^{2}+by^{2}+cz^{2}+2fyz+2gzx+ 2hxy=0$, Arch. Math. (Basel) 19 (1968), 472โ478. MR 237430, DOI 10.1007/BF01898767
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 847-855
- MSC: Primary 11E16; Secondary 11D85
- DOI: https://doi.org/10.1090/S0002-9939-1989-0960644-0
- MathSciNet review: 960644