Diophantine equations in the primes
نویسندگان
چکیده
منابع مشابه
Diophantine Approximation by Primes
We show that whenever δ > 0 and constants λi satisfy some necessary conditions, there are infinitely many prime triples p1, p2, p3 satisfying the inequality |λ0 + λ1p1 + λ2p2 + λ3p3| < (max pj)−2/9+δ. The proof uses Davenport–Heilbronn adaption of the circle method together with a vector sieve method. 2000 Mathematics Subject Classification. 11D75, 11N36, 11P32.
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2014
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-014-0508-1