Some theorems on diophantine approximation
HTML articles powered by AMS MathViewer
- by Charles F. Osgood PDF
- Trans. Amer. Math. Soc. 123 (1966), 64-87 Request permission
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
Additional 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