Geodesic
Integer triangles, Pell's equation and Chebyshev polynomials
Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 126, pp. 179-186 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider some types of integer triangles: “almost equilateral”, rectangular “almost isosceles”, rectangular "whose angle is almost $30^\circ$". The description is reduced to Pell's equation. We state the theory of Pell's equation on the basis of an “iterated matrix”. Powers of this matrix are expressed in terms of Chebyshev polynomials.
Keywords: integer triangles, Chebyshev polynomials.
Mots-clés : Heron’s formula, Pell’s equation 
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V. F. Molchanov; E. S. Yuryeva. Integer triangles, Pell's equation and Chebyshev polynomials. Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 126, pp. 179-186. http://geodesic.mathdoc.fr/item/VTAMU_2019_24_126_a3/

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