A new inequality for the Hermite constants

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We prove an inequality of the form $γ_n\geq C_n(γ_{n-1})$ giving a lower bound for the Hermite constant $γ_n$ in dimension $n$ in terms of $γ_{n-1}$. Iterating this inequality yields a new proof of the Minkowski-Hlawka bound.
24 pages, to appear in Internation Journal of Number Theory

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Number Theory, 10E05, 10E20

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http://salesiana.dossiersoluciones.com/handle/123456789/165299

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603477
 http://arxiv.org/abs/math/0603477
 International Journal of Number Theory 4, 3 (2008) 363-386

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arXiv