Lucas' theorem for extended generalized binomial coefficients

Richard L. Ollerton; A. G. Shannon

Lucas' theorem for extended generalized binomial coefficients

Richard L. Ollerton
, A. G. Shannon

Research output: Contribution to journal › Article

Abstract

The 4-extensions to the generalized binomial coefticients admit results which extend Lucas' theorem. Direct parallels of Bollinger and Burchard's result have been determined for k = 4 to 7.

Original language	English
Journal	Notes on Number Theory and Discrete Mathematics
Publication status	Published - 2006

Keywords

binomial coefficients

Cite this

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title = "Lucas' theorem for extended generalized binomial coefficients",

abstract = "The 4-extensions to the generalized binomial coefticients admit results which extend Lucas' theorem. Direct parallels of Bollinger and Burchard's result have been determined for k = 4 to 7.",

keywords = "binomial coefficients",

author = "Ollerton, \{Richard L.\} and Shannon, \{A. G.\}",

year = "2006",

language = "English",

journal = "Notes on Number Theory and Discrete Mathematics",

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AU - Ollerton, Richard L.

AU - Shannon, A. G.

PY - 2006

Y1 - 2006

N2 - The 4-extensions to the generalized binomial coefticients admit results which extend Lucas' theorem. Direct parallels of Bollinger and Burchard's result have been determined for k = 4 to 7.

AB - The 4-extensions to the generalized binomial coefticients admit results which extend Lucas' theorem. Direct parallels of Bollinger and Burchard's result have been determined for k = 4 to 7.

KW - binomial coefficients

UR - http://handle.uws.edu.au:8081/1959.7/34615

M3 - Article

SN - 1310-5132

JO - Notes on Number Theory and Discrete Mathematics

JF - Notes on Number Theory and Discrete Mathematics

ER -

Lucas' theorem for extended generalized binomial coefficients

Abstract

Keywords

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