Generalizations of Knoppʹs Identity Original Research Article

For integers a, b and n > 0 we define image andimage which are similar to the homogeneous Dedekind sum S(a,b,n). In this paper we establish functional equations for SΓ and TΓ. Moreover, by means of uniform function (introduced by Sun in 1989) we are able to extend Knoppʹs identity on Dedekind sums vastly.