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Congruences with binomial coefficients

✍ Scribed by Obláth, Richard

Book ID
112976334
Publisher
Springer-Verlag
Year
1934
Tongue
English
Weight
178 KB
Volume
1
Category
Article
ISSN
0370-0089

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📜 SIMILAR VOLUMES

Some binomial coefficient congruences
Some binomial coefficient congruences
✍ D.F. Bailey 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 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.

Congruences for sums of binomial coeffic
Congruences for sums of binomial coefficients
✍ Zhi-Wei Sun; Roberto Tauraso 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 135 KB

Let q > 1 and m > 0 be relatively prime integers. We find an explicit period ν m (q) such that for any integers n > 0 and r we have whenever a is an integer with gcd(1 -(-a) m , q) = 1, or a ≡ -1 (mod q), or a ≡ 1 (mod q) and 2 | m, where n r m (a) = k≡r (mod m) n k a k . This is a further extensio

A Binomial Coefficient Congruence Modulo
A Binomial Coefficient Congruence Modulo Prime Powers
✍ K. Davis; W. Webb 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 94 KB

AND WilLiam WebB Department of Mathematics, Washington State Unicersity, Pullman, Washington 99164-3113 Communicated hy Hans Zassenhaus