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Random Diophantine inequalities of additive type
Authors:Jörg Brüdern  Rainer Dietmann
Affiliation:1. Mathematisches Institut, Bunsenstrasse 3-5, 37073 Göttingen, Germany;2. Department of Mathematics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK
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.
Keywords:
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