| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593368 | Journal of Number Theory | 2016 | 9 Pages |
Abstract
Let φ be the Euler's totient function and σk(n)=∑d|ndkσk(n)=∑d|ndk, that is, the sum of the kth powers of the divisors of n. B. Sury showed that∑t1∈U(Zn),t2,…,tr∈Zngcd(t1−1,t2,…,tr,n)=φ(n)σr−1(n), where U(Zn)U(Zn) is the group of units in the ring of residual classes modulo n. Here, this identity is extended to residually finite Dedekind domains.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
C. Miguel,