Restricted Divisor Sums
نویسنده
چکیده
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 currently too difficult to estimate, in that the restrictions on divisors depend on the summation variable n. In deriving asymptotic expressions for the sum ∑
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تاریخ انتشار 2002