Some binomial coefficient congruences
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D.F. Bailey
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Article
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1991
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Elsevier Science
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English
β 297 KB
For p prime and i < p, i # 0, (r;Ti) I (r + l)(r;l) (y) (mod p2). A parallel, but rather different congruence holds modulo p3. In 1878, kdouard Lucas gave an elegant result for computing binomial coefficients modulo a prime [1,2]. H is result is as follows.