On the congruence $$1^m + 2^m + \cdots + m^m\equiv n \pmod {m}$$ 1 m + 2 m + ⋯ + m m ≡ n ( mod m ) with $$n\mid m$$ n ∣ m
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Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00605-014-0660-0.pdf
Reference18 articles.
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3. Butske, W., Jaje, L.M., Mayernik, D.R.: On the equation $$\sum _{P \mid N} \frac{1}{P}+\frac{1}{N}=1$$ ∑ P ∣ N 1 P + 1 N = 1 , pseudoperfect numbers, and perfectly weighted graphs. Math. Comput. 69, 407–420 (2000)
4. Dyer-Bennet, J.: A theorem on partitions of the set of positive integers. Am. Math. Mon. 47, 152–154 (1940)
5. Erdős, P., Ram Murty, M., Kumar Murty, V.: On the enumeration of finite groups. J. Number Theory 25(3), 360–378 (1987)
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