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On a general equation with no solution in large integers. (Sur une équation générale insoluble en grands nombres entiers.) (French. English summary) Zbl 1325.01035

Summary: We give a translation of the author’s article [Christiania Vidensk. Selsk. Skr. 1908, No. 7, 15 p. (1908; JFM 40.0256.01)], also available in [the author, Selected mathematical papers. With an introduction by Carl Ludwig Siegel and a biography by Viggo Brun. Oslo: Universitetsforlaget (1977; Zbl 0359.01021), pp. 219–231], from Norwegian to French. (The original article is written in riksmål, literally the “language of the realm”, which in 1929 was renamed bokmål, the “language of the books”.) We chose to keep as close to the original style, structure and phrasing as possible. If a change has been introduced to modernize the presentation, a footnote indicates this change. All the notes in this translation, both linguistic as well as mathematical, have been made by the translator.

MSC:

01A75 Collected or selected works; reprintings or translations of classics
11-03 History of number theory
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References:

[1] A. Thue, Om en generel i store hele tal uløsbar ligning, Videnskabs-Selskabets Skrifter, I. Math.-Naturv. Klasse 7 (1908). Udgivet for Fridtjof Nansens Fond., ChristianiaChristiania a été le nom de la ville d’Oslo entre 1624 et 1924.. I komission hos Jacob Dybwad, 1908.
[2] A. Thue, Über Annäherungswerte algebraischer Zahlen, Journal für die reine und angewandte Mathematik 135 (1909), 284-305. · JFM 40.0265.01
[3] A. Thue, Selected mathematical papers, with an introduction by Carl Ludwig Siegel and a biography by Viggo Brun. Edited by Trygve Nagell, Atle Selberg, Sigmund Selberg, and Knut Thalberg. UniversitetsforlagetPresse universitaire., Oslo, (1977). · Zbl 0359.01021
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