On integer solutions \(x_1,\dots,x_n,\) \(k_1,\dots,k_n,\) \(k\) of the equation \(x_1\text{arctg\,}\frac{1}{k_1}+x_2\text{arctg}\,\frac{1}{k_2}+ \cdots+x_n\text{arctg}\,\frac{1}{k_n}=k\cdot\frac{\pi}{4}\).

zbMATH Open27.0166.03MaRDI QIDQ1521747

C. Störmer

Publication date: 1896

Published in: Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://gallica.bnf.fr/ark:/12148/bpt6k30780.f177

Mathematics Subject Classification ID

Diophantine equations (11D99)

Related Items (1)

On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors

This page was built for publication: On integer solutions \(x_1,\dots,x_n,\) \(k_1,\dots,k_n,\) \(k\) of the equation \(x_1\text{arctg\,}\frac{1}{k_1}+x_2\text{arctg}\,\frac{1}{k_2}+ \cdots+x_n\text{arctg}\,\frac{1}{k_n}=k\cdot\frac{\pi}{4}\).

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