Generalizations of Knopp's identity

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Abstract

For integers a, b and n > 0 we define 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 Knopp's identity on Dedekind sums vastly. © 2002 Elsevier Science (USA).

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CITATION STYLE

APA

Chen, B., & Sun, Z. W. (2002). Generalizations of Knopp’s identity. Journal of Number Theory, 97(1), 186–198. https://doi.org/10.1006/jnth.2002.2801

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