DIOPHANTINE APPROXIMATION BY PRIMES



: Matomäki Kaisa

Publisher: CAMBRIDGE UNIV PRESS

: 2010

: Glasgow Mathematical Journal

: GLASGOW MATHEMATICAL JOURNAL

: GLASGOW MATH J

: 52

: 87

: 106

: 20

: 0017-0895

DOI: https://doi.org/10.1017/S0017089509990176


We show that whenever delta > 0 and constants lambda(i) satisfy some necessary conditions. there are infinitely many prime triples p(1) p(2), p(3) sat satisfying the inequality |lambda(0) + lambda(1)p(1) + lambda(2)p(2) + lambda(3)p(3)| < (maxp(j))(-2/9+delta). The proof uses Davenport-Heilbronn adaption of the circle method together with a vector sieve method.



Last updated on 2024-26-11 at 16:17