Generalizations of Knopp's Identity
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Beifang Chen; Zhi-Wei Sun
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Article
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2002
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Elsevier Science
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English
⚖ 128 KB
For integers a; b and n > 0 we define S G ða; b; nÞ ¼ X nÀ1 r¼0 n[br ar n ln G br n and T G ða; b; nÞ ¼ X nÀ1 r¼0 n[br ar n G 0 ðfbr=ngÞ Gðfbr=ngÞ ; which are similar to the homogeneous Dedekind sum Sða; b; nÞ: In this paper we establish functional equations for S G and T G : Moreover, by means of u