Number Theory


Bhaskaracharya Quadratics and Spade Sequences

Authors: Nathaniel S. K. Hellerstein

In this article I generalize on a word problem by Bhaskaracharya. The resulting quadratics are trivial to solve; but composing them, so that they have whole number solutions, is not trivial. In this article I discover a class of sequences, which I call "Spade Sequences" as homage to a hero of detective fiction, which generate both Bhaskaracharya quadratics and their solutions. The article ends with a list of such word problems, presented as a problem set with answer key.

Comments: 13 pages

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Submission history

[v1] 26 Oct 2010

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