Frontiers of Mathematics in China >
Values of binary linear forms at prime arguments
Received date: 11 Jan 2015
Accepted date: 21 Feb 2015
Published date: 12 Oct 2015
Copyright
value of a given binary linear form at prime arguments. Let λ1 and λ2 be positive real numbers such that λ1/λ2 is irrational and algebraic. For any (C, c) well-spaced sequence and δ>0, let E(, X, δ) denote the number of υ∈ with υ≤X for which the inequality
has no solution in primes p1, p2. It is shown that for any ε>0,we have E(, X, δ) «max().
Key words: Circle method; Diophantine inequality
Yuchao WANG . Values of binary linear forms at prime arguments[J]. Frontiers of Mathematics in China, 2015 , 10(6) : 1449 -1459 . DOI: 10.1007/s11464-015-0461-3
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