On a generalization of a theorem by Euler

dc.contributor.author	Swanepoel, Jan W.H.
dc.contributor.researchID	10177507 - Swanepoel, Jan Willem Hendrik
dc.date.accessioned	2016-09-08T08:01:45Z
dc.date.available	2016-09-08T08:01:45Z
dc.date.issued	2015
dc.description.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	en_US
dc.identifier.citation	Swanepoel, J.W.H. 2015. On a generalization of a theorem by Euler. Journal of number theory, 149:46-56. [https://doi.org/10.1016/j.jnt.2014.10.002]	en_US
dc.identifier.issn	0022-314X
dc.identifier.issn	1096-1658 (Online)
dc.identifier.uri	http://hdl.handle.net/10394/18576
dc.identifier.uri	https://doi.org/10.1016/j.jnt.2014.10.002
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0022314X14003497
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.subject	Bernoulli numbers	en_US
dc.subject	Bernoulli polynomials	en_US
dc.subject	identities	en_US
dc.subject	trigonometric series	en_US
dc.title	On a generalization of a theorem by Euler	en_US
dc.type	Article	en_US

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