Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Some theorems on diophantine approximation
HTML articles powered by AMS MathViewer

by Charles F. Osgood
Trans. Amer. Math. Soc. 123 (1966), 64-87
DOI: https://doi.org/10.1090/S0002-9947-1966-0193065-0
References
  • Adolf Hurwitz, Ueber arithmetische Eigenschaften gewisser transcendenter Functionen, Math. Ann. 22 (1883), no. 2, 211–229 (German). MR 1510224, DOI 10.1007/BF01442748
  • E. Ratner, Ueber eine Eigenschaft gewisser linearer irreductibler Differentialgleichungen, Math. Ann. 32 (1888), no. 4, 566–582 (German). MR 1510525, DOI 10.1007/BF01443583
  • A. Hurwitz, Ueber arithmetische Eigenschaften gewisser transcendenter Functionen II, Math. Ann. 32 (1888), no. 4, 583–588 (German). MR 1510526, DOI 10.1007/BF01443584
  • Oskar Perron, Über lineare Differenzen- und Differentialgleichungen, Math. Ann. 66 (1909), no. 4, 446–487 (German). MR 1511511, DOI 10.1007/BF01450044
  • J. Popken, Über arithmetische Eigenschaften analytischer Functionen, (Proefschrift) Groningen, 1935. C. L. Siegel, Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss. (1929), 1-70.
  • K. Mahler, On the approximation of logarithms of algebraic numbers, Philos. Trans. Roy. Soc. London Ser. A 245 (1953), 371–398. MR 52471, DOI 10.1098/rsta.1953.0001
  • G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. MR 0067125
  • J. W. S. Cassels, An introduction to Diophantine approximation, Cambridge Tracts in Mathematics and Mathematical Physics, No. 45, Cambridge University Press, New York, 1957. MR 0087708
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 10.30, 10.32
  • Retrieve articles in all journals with MSC: 10.30, 10.32
Bibliographic Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 123 (1966), 64-87
  • MSC: Primary 10.30; Secondary 10.32
  • DOI: https://doi.org/10.1090/S0002-9947-1966-0193065-0
  • MathSciNet review: 0193065