On representations of integers by indefinite ternary quadratic forms.

DOI10.1006/jnth.2001.2662zbMath1037.11024arXivmath/0006141OpenAlexW1990944757MaRDI QIDQ5950940

Mikhail Borovoi

Publication date: 2 January 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0006141

zbMATH Keywords

integer pointsTamagawa measureternary quadratic forms

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12) Galois cohomology of linear algebraic groups (11E72)

Related Items (5)

Integral points on quadrics in three variables whose coordinates have few prime factors ⋮ On the analytic theory of isotropic ternary quadratic forms ⋮ On representations of spinor genera. II ⋮ Arithmetic purity of strong approximation for semi-simple simply connected groups ⋮ Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms

Cites Work

• Stable trace formula: Elliptic singular terms
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• Density of integer points on affine homogeneous varieties
• Mixing, counting, and equidistribution in Lie groups
• Galois Cohomology
• Hardy-Littlewood varieties and semisimple groups
• Unipotent flows and counting lattice points on homogeneous varieties
• A New Application of the Hardy-Littlewood-Kloosterman Method
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