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Multidimensional Generalization of Hilbert’s Seventh Problem

  • A. N. Parshin
  • I. R. Shafarevich
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 44)

Abstract

1.1. Preliminary Remarks. Let \( {\alpha _1},...,{\alpha _m}\;\;{\Bbb A} \), and let ln α1,..., ln α m be fixed values of their logarithms. For the duration of this chapter we will use the notation
(1)
(2)
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(3)

Keywords

Linear Form Prime Divisor Algebraic Number Class Number Diophantine Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • A. N. Parshin
    • 1
  • I. R. Shafarevich
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia

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