On a generalization of a theorem by Euler
Abstract
In this paper a natural generalization of a theorem by Euler in 1744 is presented. Extensive searches failed to locate this result in existing literature or in well known mathematical websites such as MathWorld (http://mathworld.wolfram.com), nor could it be derived by using software for analytical computation like Maple. The obtained identity is fascinating and surprisingly simple, and it paves the way for interesting applications
URI
http://hdl.handle.net/10394/18576https://doi.org/10.1016/j.jnt.2014.10.002
https://www.sciencedirect.com/science/article/pii/S0022314X14003497