Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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.

 

Sequences of differential systems
HTML articles powered by AMS MathViewer

by Makoto Nagata PDF
Proc. Amer. Math. Soc. 124 (1996), 21-25 Request permission

Abstract:

Our main result deals with certain properties of the sizes of a differential system and its dual system. It represents an improvement of part of the results in André’s G-function theory (Max-Planck-Institut, Bonn, 1989).
References
  • Yves André, $G$-functions and geometry, Aspects of Mathematics, E13, Friedr. Vieweg & Sohn, Braunschweig, 1989. MR 990016, DOI 10.1007/978-3-663-14108-2
  • E. Bombieri, On $G$-functions, Recent progress in analytic number theory, Vol. 2 (Durham, 1979) Academic Press, London-New York, 1981, pp. 1–67. MR 637359
  • D. V. Chudnovsky and G. V. Chudnovsky, Applications of Padé approximations to Diophantine inequalities in values of $G$-functions, Number theory (New York, 1983–84) Lecture Notes in Math., vol. 1135, Springer, Berlin, 1985, pp. 9–51. MR 803349, DOI 10.1007/BFb0074600
  • A.I. Galochkin, Estimates from below of polynomials in the values of analytic functions of a certain class, Math. USSR-Sb. 24 (1974), 385–407; Original article in Mat. Sb., 95 (137) (1974), 396–417.
  • X. Guangshan, On the arithmetic properties of G-functions, International Symposium in Memory of Hua Loo Keng (Number Theory), Springer-Verlag, Berlin, Heidelberg, and New York, 1991, pp. 331–346.
  • K. Mahler, Perfect systems, Compositio Math. 19 (1968), 95–166 (1968). MR 239099
  • Andrei Borisovich Shidlovskii, Transcendental numbers, De Gruyter Studies in Mathematics, vol. 12, Walter de Gruyter & Co., Berlin, 1989. Translated from the Russian by Neal Koblitz; With a foreword by W. Dale Brownawell. MR 1033015, DOI 10.1515/9783110889055
  • Keijo Väänänen, On linear forms of a certain class of $G$-functions and $p$-adic $G$-functions, Acta Arith. 36 (1980), no. 3, 273–295. MR 581376, DOI 10.4064/aa-36-3-273-295
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 12H25, 11S99
  • Retrieve articles in all journals with MSC (1991): 12H25, 11S99
Additional Information
  • Makoto Nagata
  • Affiliation: Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152, Japan
  • Email: nagata@math.titech.ac.jp
  • Received by editor(s): October 25, 1993
  • Received by editor(s) in revised form: July 15, 1994
  • Communicated by: Dennis A. Hejhal
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 21-25
  • MSC (1991): Primary 12H25; Secondary 11S99
  • DOI: https://doi.org/10.1090/S0002-9939-96-03013-4
  • MathSciNet review: 1286002