Restricted Divisor Sums

where the function f(n) is n, n or n + n + p+1 4 , where p ≡ 3 mod 4 is a rational prime, and where dα(n) = #{d : d|n and 1 ≤ d ≤ α} for real α ≥ 1. Motivation for considering these sums comes from an expression which is derived for the class number of a quadratic field with discriminant −p, in terms of a certain restricted divisor sum. This sum is… CONTINUE READING