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Non-homogeneous Problems: Conjectures of Minkowski and Watson

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Number Theory

Part of the book series: Trends in Mathematics ((TM))

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Abstract

Here we shall survey the developments regarding two well known problems in Geometry of Numbers. The first is a conjecture of Minkowski about the product of non-homogeneous real linear forms. The second one is a conjecture of Watson concerning non-homogeneous real indefinite quadratic forms. Whereas the first one is still resisting solution in the general case, the second one has been completely proved.

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Bambah, R.P., Dumir, V.C., Hans-Gill, R.J. (2000). Non-homogeneous Problems: Conjectures of Minkowski and Watson. In: Bambah, R.P., Dumir, V.C., Hans-Gill, R.J. (eds) Number Theory. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7023-8_2

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