✦ LIBER ✦

The distribution of binomial coefficients (modp)

✍ Scribed by L. Carlitz

Book ID: 112501521
Publisher: Springer
Year: 1963
Tongue: English
Weight: 182 KB
Volume: 14
Category: Article
ISSN: 0003-889X
DOI: 10.1007/bf01234957

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The distribution of the binomial coeffic

The distribution of the binomial coefficients modulo p

✍ Richard Garfield; Herbert S Wilf 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 245 KB

On the Distribution of the Sums of Binom

On the Distribution of the Sums of Binomial Coefficients Modulo a Prime

✍ Henri Faure 📂 Article 📅 2000 🏛 Springer Vienna 🌐 English ⚖ 125 KB

Negation of binomial coefficients

✍ Renzo Sprugnoli 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 139 KB

A generalization of the binomial coeffic

A generalization of the binomial coefficients

✍ Daniel E. Loeb 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 614 KB

Modular periodicity of binomial coeffici

Modular periodicity of binomial coefficients

✍ Sandro Mattarei 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 160 KB

We prove that if the signed binomial coefficient (-1) i k i viewed modulo p is a periodic function of i with period h in the range 0 i k, then k + 1 is a power of p, provided h is not too large compared to k. (In particular, 2h k suffices). As an application, we prove that if G and H are multiplicat

On divisibility of binomial coefficients

✍ Marko Razpet 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 141 KB

The Lucas theorem for binomial coefficients implies some interesting tensor product properties of certain matrices regarded for every prime p in the field TP. Let us define the array of numbers C(i,j) for all nonnegative integers i and j by binomial coefficients: ## 0 _i ' We may display the numb