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AN EXTENSION OF SURY’S IDENTITY AND RELATED CONGRUENCES
Published online by Cambridge University Press: 04 October 2011
Abstract
In this paper we give an extension of a curious combinatorial identity due to B. Sury. Our proof is very simple and elementary. As an application, we obtain two congruences for Fermat quotients modulo p3. Moreover, we prove an extension of a result by H. Pan that generalizes Carlitz’s congruence.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2011
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