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.
| Original language | English |
|---|---|
| Pages (from-to) | 19-31 |
| Number of pages | 13 |
| Journal | Ramanujan Journal |
| Volume | 17 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2008 Oct 1 |
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All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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On a generalization of the Dedekind-Hölder theorem. / Huang, Sen Shan; Peng, Wen Sen.
In: Ramanujan Journal, Vol. 17, No. 1, 01.10.2008, p. 19-31.Research output: Contribution to journal › Article
TY - JOUR
T1 - On a generalization of the Dedekind-Hölder theorem
AU - Huang, Sen Shan
AU - Peng, Wen Sen
PY - 2008/10/1
Y1 - 2008/10/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=52649130318&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=52649130318&partnerID=8YFLogxK
U2 - 10.1007/s11139-007-9021-0
DO - 10.1007/s11139-007-9021-0
M3 - Article
AN - SCOPUS:52649130318
VL - 17
SP - 19
EP - 31
JO - Ramanujan Journal
JF - Ramanujan Journal
SN - 1382-4090
IS - 1
ER -