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Some remarks about a formula of Charles Dodgson

Published online by Cambridge University Press:  23 January 2015

Juan Pla
Juan Pla*
Affiliation:
315 rue de Belleville, 75019 Paris, France
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Extract

In this note we start by exploring a type of solution of the equation in positive integers

for a given p, which will enable us easily to derive a class of solutions in integers of the more general equation in positive integers

for any positive integers p and n.

In another part of this note we explore some connections between the formula we find and a particular chapter in the elementary theory of numbers.

Type
Articles
Information
The Mathematical Gazette , Volume 95 , Issue 533 , July 2011 , pp. 235 - 239
Copyright
Copyright © The Mathematical Association 2012

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