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arxiv: 1012.4047 · v2 · pith:FHYDJ5IZnew · submitted 2010-12-18 · 🧮 math.NT

An extension of Stern's congruence

classification 🧮 math.NT
keywords congruencedetermineeulerextensionintegersmodulonumberspositive
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Let $\{E_n\}$ be the Euler numbers. In the paper we determine $E_{2^mk+b}-E_b$ modulo $2^{m+7}$, where $k$ and $m$ are positive integers and $b\in{0,2,4,...}$.

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