Random Diophantine inequalities of additive type |
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Authors: | Jörg Brüdern Rainer Dietmann |
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Affiliation: | 1. Mathematisches Institut, Bunsenstrasse 3-5, 37073 Göttingen, Germany;2. Department of Mathematics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK |
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Abstract: | Using the Davenport–Heilbronn circle method, we show that for almost all additive Diophantine inequalities of degree k in more than 2k variables the expected asymptotic formula for the density of solutions holds true. |
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