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Article overview
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Diophantine approximation by prime numbers of a special form | S. I. Dimitrov
; T. L. Todorova
; | Date: |
13 Oct 2016 | Abstract: | We show that for $B>1$ and for constants $lambda _i,,i=1,2,3$ subject to
certain assumptions, there are infinitely many prime triples $p_1,, p_2,,
p_3$ satisfying the inequality $|lambda _1p_1 + lambda _2p_2 + lambda
_3p_3+eta| < [log (max p_j)]^{-B}$ and such that $p_i+2=P_8,i=1,2,3$. The
proof uses Davenport - Heilbronn adaption of the circle method together with a
vector sieve method. | Source: | arXiv, 1610.4044 | Services: | Forum | Review | PDF | Favorites |
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