201103.0370v4 When are two Dedekind sums equal [什么情况下两个戴德金和相等]

A natural question about Dedekind sums is to find conditions on the integers a1,a2, and b such that s(a1,b)=s(a2,b). We prove that if the former equality holds then b | (a1a2−1)(a1−a2). Surprisingly, to the best of our knowledge such statements have not appeared in the literature. A similar theorem is proved for the more general Dedekind-Radema..