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On the generalized Glaisher-Hong's congruences - MaRDI portal

On the generalized Glaisher-Hong's congruences (Q1600019)

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scientific article; zbMATH DE number 1751702
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English
On the generalized Glaisher-Hong's congruences
scientific article; zbMATH DE number 1751702

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    On the generalized Glaisher-Hong's congruences (English)
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    9 January 2003
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    Let \(p\geq 5\) be an odd prime, and \(n,r,l\) positive integers. Some congruence properties of the sum \(\sum_{j=1}^{p^l-1}(np^l+j)^r\) are proved by elementary methods.
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    Glaisher's congruence
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    Bernoulli number
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