Diophantine approximations in the field of p-adic numbers

  • Yu. V. Nesterenko


Diophantine Approximation 
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Literature cited

  1. 1.
    A. O. Gel'fond, Transcendental and Algebraic Numbers [in Russian], Gostekhizdat, Moscow (1952).Google Scholar
  2. 2.
    K. Mahler, “Zur Approximation der Exponentialfunktion und des Logarithmus. II,” J. Reine Angew. Math.,166, 137–150 (1931).Google Scholar
  3. 3.
    E. Reyssat, “Un critére d'indeépendance algébrique,” J. Reine Angew. Math.,329, 66–81 (1981).Google Scholar
  4. 4.
    O. Zariski and P. Samuel, Commutative Algebra [Russian translation], IL, Moscow (1963).Google Scholar
  5. 5.
    Yu. V. Nesterenko, “Estimates of orders of zeros of functions of one class and their application to the theory of transcendental numbers,” Izv. Akad. Nauk SSSR, Ser. Mat.,41, No. 2, 253–284 (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • Yu. V. Nesterenko
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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