Prime Values of Quadratic Polynomials · arXivDeskAbstract
This note investigates the prime values of the polynomial f(t)=qt2+a for any fixed pair of relatively prime integers a≥1 and q≥1
of opposite parity. For a large number
, an asymptotic result of the form
∑n≤x1/2,n oddΛ(qn2+a)≫qx1/2/2φ(q) is achieved for
q≪(logx)b , where
is a constant.