✦ LIBER ✦

Bernoulli numbers, Wolstenholme's theorem, and variations of Lucas' theorem

✍ Scribed by Jianqiang Zhao

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 119 KB
Volume: 123
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2006.05.005

No coin nor oath required. For personal study only.

✦ Synopsis

In this note we shall improve some congruences of G.S. Kazandzidis and D.F. Bailey to higher prime power moduli, by studying the relation between irregular pairs of the form (p, p -3) and a refined version of Wolstenholme's theorem.

📜 SIMILAR VOLUMES

On Fermat's last theorem and the Bernoul

On Fermat's last theorem and the Bernoulli numbers

✍ Takashi Agoh 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 322 KB

Two p3 variations of Lucas' Theorem

✍ D.F. Bailey 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 278 KB

Variations of Cohen’s theorem

✍ G. J. Chae; H. O. Kim; R. Y. Kim 📂 Article 📅 2001 🏛 Japan Society for Industrial and Applied Mathemati 🌐 English ⚖ 433 KB

The great theorem of A.A. Markoff and Je

The great theorem of A.A. Markoff and Jean Bernoulli sequences

✍ S. Khrushchev 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 381 KB

A proof of Markoff's Great Theorem on the Lagrange spectrum using continued fractions is sketched. Markoff's periods and Jean Bernoulli sequence 1 are used to obtain a simple algorithm for the computation of the Lagrange spectrum below 3.

Non-Liouville numbers and a Theorem of H

Non-Liouville numbers and a Theorem of Hörmander

✍ Edith Kregelius Petersen; G.H Meisters 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 449 KB

Complexity of Bezout′s Theorem: III. Con

Complexity of Bezout′s Theorem: III. Condition Number and Packing

✍ Michael Shub; Steve Smale 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 308 KB