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The Basic Lemma in Multiplicative Diophantine Analysis

Published online by Cambridge University Press:  03 November 2016

E.T. Bell
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Information
The Mathematical Gazette , Volume 32 , Issue 300 , July 1948 , pp. 182 - 183
Copyright
Copyright © The Mathematical Association 1948

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References

* For the relevant algebra, see A. A. Albert, Modern Higher Algebra (l937), Chapter II ; B. L. van der Waerden, Moderne Algebra, 2nd edition (1937), vol. I, §§17–19. For the connection of (1.1), (1.2) with the fundamental theorem of arithmetic in C, see L. Kalamár, “ Über den Fundamentalsatz der Zahlentheorie ”, Math. phys. lapok, vol. 43 (1936), pp. 27–45. For the necessary caution regarding neglect of units, see E. Landau, L’Intermédiare des Math., vol. 8 (1901), pp. 145–7, and L. E. Dickson, History of the Theory of Numbers, vol. 2 (1920), pp. 534, 536. For multiplicative equations, see Th. Skolem, Diophantische Gleichungen (1938), Kap. 4.