✦ LIBER ✦

Some binomial coefficient congruences

✍ Scribed by D.F. Bailey

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 297 KB
Volume: 4
Category: Article
ISSN: 0893-9659
DOI: 10.1016/0893-9659(91)90043-u

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

On congruences for binomial coefficients

✍ Kit Ming Yeung 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 581 KB

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

A congruence involving products of q-bin

A congruence involving products of q-binomial coefficients

✍ Hao Pan; Hui-Qin Cao 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 108 KB

Equal Binomial Coefficients: Some Elemen

Equal Binomial Coefficients: Some Elementary Considerations

✍ Benjamin M.M. de Weger 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 333 KB

Some recurrences for sums of powers of b

Some recurrences for sums of powers of binomial coefficients

✍ Marci A. Perlstadt 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 228 KB