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Studies in the Theory of Numbers. By L. E. Dickson. Pp. x+230. 18s. 1930. (University of Chicago Press.)

Published online by Cambridge University Press:  03 November 2016

L. J. Mordell
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Type
Reviews
Information
The Mathematical Gazette , Volume 15 , Issue 212 , March 1931 , pp. 361 - 362
Copyright
Copyright © Mathematical Association 1931

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References

page 361 note * The first formulae were given without proof by Bisenstein in 1851 in Creile, vol. 41. Apparently they were proved by W. A. Markoff in 1894 in the not easily accessible Proc. Math. Soc. Univ. Khrakov. (2) 4, unknown to Bachmann, and also to me when I found proofs in 1916 and published them in the Messenger of Mathematics, 47 (1918). Korfnek in 1926,1927, unaware of the previous work, published the most general results in the Bulletin international de l’Académie des Sciences de Boheme.

page 362 note * I have found a very simple proof of results of this land, which will be published shortly.

page 362 note † On March IS, 1930, some months before the appearance of Dickson, I read to the London Mathematical Society a paper containing a very simple and elementary proof of Meyer’s theorem, which is appearing shortly in Creile’s Journal.

page 362 note ‡ He gives it correctly on p. 433 of vol. 2. of his History.