Mathematics – Number Theory
Scientific paper
2010-11-12
Mathematics
Number Theory
7 pages. Meanwhile MacMillan and Sondow showed that Lagrange (1736-1813). can be replaced by Pascal (1623-1662)
Scientific paper
If the equation 1^k+2^k+...+(m-2)^k+(m-1)^k=m^k has an integer solution with k>1, then m>10^{10^6}. Leo Moser showed this in 1953 by remarkably elementary methods. His proof rests on four identities he derives separately. It is shown here that Moser's result can be derived from a von Staudt-Clausen type theorem (an easy proof of which is also presented here). In this approach the four identities can be derived uniformly. The mathematical arguments used in the proofs were already available during the lifetime of Lagrange (1736-1813).
No associations
LandOfFree
A top hat for Moser's four mathemagical rabbits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A top hat for Moser's four mathemagical rabbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A top hat for Moser's four mathemagical rabbits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-204507