Intersective polynomials and Diophantine approximation, II
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By applying Schmidt’s lattice method, we prove results on simultaneous Diophantine approximation modulo 1 for systems of polynomials in a single prime variable provided that certain local conditions are met.
KeywordsDiophantine approximation modulo 1 Intersective polynomials Prime numbers Lattice method
Mathematics Subject Classification (2010)11J54 11L20
The authors would like to thank Roger Baker, Andrew Granville, Ben Green, and Terence Tao for helpful conversations. They are also thankful to the referee for useful comments which help to improve the presentation of the paper.
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