Claims

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1963_01_01_hooley: Hooley's Theorem 2 of 1963: for a nonzero integer a with -a not a square, the sum of d(n^2 + a) over n <= x is A_2(a) x log x + A_3(a) x + O(x^(8/9) log^3 x), the asymptotic of Problem 975 for the quadratics x^2 + a; refereed.

1995_05_01_mckee: McKee's 1995 theorem: for x^2 + bx + c with discriminant b^2 - 4c < 0, the sum of d(n^2 + bn + c) over n <= x is lambda x log x + O(x), with lambda given by a Hurwitz class number; Problem 975 for these quadratics, refereed.

1997_01_30_mckee: McKee's 1997 note: for an^2 + bn + c with b^2 - 4ac < 0 and gcd(a, b^2 - 4ac) = 1, the sum of d(an^2 + bn + c) over n <= x is C x log x + O(x); Problem 975 for these quadratics, in a proceedings volume.

1999_01_01_mckee: McKee's 1999 theorem: for x^2 + bx + c with b^2 - 4c positive and not a square, the sum of d(n^2 + bn + c) over n <= x is lambda x log x + O(x), lambda given by a weighted class number; Problem 975 there, refereed.

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