11 citations · 60 across the 23 of their papers we have counts for
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math.NT2015★ 2 cited
Zeroes of polynomials with prime inputs and Schmidt's -invariant
Stanley Yao Xiao, Shuntaro Yamagishi
In this paper we show that a polynomial equation admits infinitely many prime-tuple solutions assuming only that the equation satisfies suitable local conditions and the polynomial…
math.NT2015★ 7 cited
Power-free values of binary forms and the global determinant method
Stanley Yao Xiao
We give an improved estimate for the density of -free values of integral binary forms with no fixed -th power divisor. Further, we give the corresponding improvement to a the…