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On a Generalization of the Dedekind-Holder Theorem
http://ir.ncue.edu.tw/ir/handle/987654321/17756
title: On a Generalization of the Dedekind-Holder Theorem abstract: The Dedekind–Hölder theorem states that Ramanujan’s sum and the Von Sterneck function are identical. In this article, we extend the Dedekind–Hölder theorem by generalizing both Ramanujan’s sum and the Von Sterneck function and showing that the two generalizations are identical.
<br>On general series-product identities
http://ir.ncue.edu.tw/ir/handle/987654321/17755
title: On general series-product identities abstract: We derive the general series-product identities from which we deduce several applications, including an identity of Gauss, the generalization of Winquist's identity by Carlitz and Subbarao, an identity for , the quintuple product identity, and the octuple product identity.
<br>A Partition Result Which Implies Fine`s Identity
http://ir.ncue.edu.tw/ir/handle/987654321/17753
title: A Partition Result Which Implies Fine`s Identity abstract: In this article, we derive a partition result and employ its special case to offer a new proof for an identity of N. J. Fine.
<br>On Gollnitz-Gordon Type Identities and Durfee Dissection
http://ir.ncue.edu.tw/ir/handle/987654321/17754
title: On Gollnitz-Gordon Type Identities and Durfee Dissection