✦ LIBER ✦

Generalized Knopp identities for homogeneous Hardy sums and Cochrane-Hardy sums

✍ Scribed by Liu, Huaning; Gao, Jing

Book ID: 118797817
Publisher: Springer
Year: 2012
Tongue: English
Weight: 132 KB
Volume: 62
Category: Article
ISSN: 0011-4642
DOI: 10.1007/s10587-012-0069-7

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Generalized Cochrane sums and Cochrane–H

Generalized Cochrane sums and Cochrane–Hardy sums

✍ Huaning Liu; Wenpeng Zhang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 153 KB

In this paper, the generalized Cochrane sums and Cochrane-Hardy sums are defined. The arithmetic properties of the generalized Cochrane sums are studied, and the Cochrane-Hardy sums are expressed in terms of the generalized Cochrane sums. Analogues of Subrahmanyam's identity and Knopp's theorem are

Some Identities Involving Certain Hardy

Some Identities Involving Certain Hardy Sums and Ramanujan Sum

✍ Hong Yan Liu; Wen Peng Zhang 📂 Article 📅 2004 🏛 Institute of Mathematics, Chinese Academy of Scien 🌐 English ⚖ 148 KB

The Petersson–Knopp Identity for the Hom

The Petersson–Knopp Identity for the Homogeneous Dedekind Sums

✍ Zhiyong Zheng 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 273 KB

It is the generalization of Knopp's identity for homogeneous Dedekind sums. 1996 Academic Press, Inc. where ((x))=x&[x]& 1 2 if x{integer, ((x))=0 otherwise, and \_(n) is the sum of the positive divisors of n. Knopp's identity is valid for arbitrary integers a and q with q>0, and his derivation u