Farzali Izadi. Congruent Numbers Via the Pell Equation and its Analogous Counterpart


Natural Sciences / Mathematics / Number theory

Submitted on: Jun 14, 2012, 03:49:34

Description: The aim of this expository article is twofold. The first is to introduce several polynomials of one variable as well as two variables defined on the positive integers with values as congruent numbers. The second is to present connections between Pythagorean triples and the Pell equation x^2-dy^2=1 plus its analogous counterpart x^2-dy^2=-1 which give rise to congruent numbers n with arbitrarily many prime factors.

The abstract of this article has been published in the "Intellectual Archive Bulletin" , June 2012, ISSN 1929-1329.

The Library and Archives Canada reference page: collectionscanada.gc.ca/ourl/res.php?url_ver=Z39.88......

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Farzali_Izadi__Congruent_Numbers.pdf



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