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Conference "Zeta Functions"June 21 - 25, 2010Moscow, Russia |
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Conference "Zeta Functions"June 21 - 25, 2010Moscow, Russia |
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Organisers: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics)
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Thursday 24 June, 18:00 - 19:00
In the set of all lattices I define subset of principial unstable lattices. Their Haar measure can be easely calculated. Comparing this with the measure of all lattices we get some inequality between regulator and discriminant of number field. This inequality looks like Brauer-Siegel theorem but as opposed to it holds for one field.