A Characterization of the Hypotenuses of Primitive Pythagorean Triangles Using Partitions into Consecutive Parts

DOI10.1080/00029890.2019.1530555zbMath1443.11214OpenAlexW2913953725WikidataQ114101913 ScholiaQ114101913MaRDI QIDQ4613468

José Manuel Rodríguez Caballero

Publication date: 1 February 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1530555

zbMATH Keywords

primitive Pythagorean triangles

Mathematics Subject Classification ID

Elementary theory of partitions (11P81)

Cites Work

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• The Fourier expansion of \(\eta (z)\eta (2z)\eta (3z)/\eta (6z)x\)
• Symmetric Dyck paths and Hooley's \(\varDelta\)-function
• On Kassel-Reutenauer \(q\)-analog of the sum of divisors and the ring \(\mathbb{F}_3 [X / X^2 \mathbb{F}_3 [X]\)]
• Arithmetic harmonic analysis on character and quiver varieties. II
• The Group of Primitive Pythagorean Triangles
• Partitions into Consecutive Parts
• Trapezoidal Numbers

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