[NUMBER THEORY -MANUSCRIPT & OFF PRINTS]

Book Description

1925. Original Wraps. Very Good. Three off prints on Theory of Numbers: Théorie Des Nombres – Sur les nombres de Fermat. Comptes rendus des séances de l’Académie des Sciences, t. 180, p. 799, séance du 16 mars 1925 (4to off print numbered p.1-2.); Sur Le Nombre N= 1/9 (1023 – 1) 8vo. 3, [1]p. ; Sur Les Nombres De Fermat. Fn= 22n + 1. 8vo. 5, [3]p. Plus approximately 65 pages of manuscript notes in French with calculations. The majority of the manuscript pages appear to deal with quadratic forms in Leonard Dickson’s - Studies in the theory of numbers. (1930), which contains numerous original investigations in the theory of quadratic forms in three or four variables. In Dickson’s earlier work on the History of the Theory of Numbers (1919-23) he provided little interpretation and made no attempt to contextualize the results being described. It is probably with this background that Kraitchik devoted much of the manuscript sheets to Dickson’s work. Other manuscript notes dealing with other equations from Euler “Continuous la table” dated March to December, 1939. The last group of manuscript pages in 8vo deal with equations from a publication of Landar(sic) Backman dated November 1931 and May 1938. There are a few loose sheets with calculations but no identification. These may be sheets used to make rough calculations. Together this manuscript collection and off prints offer a very good example of Kraitchik’s thinking in regards the theory of numbers. Although Kraitchik is often thought of in relation to Recreational Mathematics, he really spent considerable time with the Theory of Numbers. The present collection of 3 off prints and manuscript sheets most of which are on square lined sheets is thus quite rare and significant for this noted 20th century mathematician.

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