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Project:
Smirnov, A. L.,
Hurwitz inequalities for number fields.
(Russian) Algebra i Analiz 4 (1992), no. 2, 186--209;
translation in St. Petersburg Math. J. 4 (1993), no. 2, 357--37
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Background:
Tate, John; Voloch, Jose Felipe,
Linear forms in $p$-adic roots of unity.
Internat. Math. Res. Notices 1996, no. 12, 589--601.
Mason, R. C.
Diophantine equations over function fields.
London Mathematical Society Lecture Note Series, 96.
Cambridge University Press, Cambridge-New York, 1984.
Silverman, Joseph H.
The $S$-unit equation over function fields.
Math. Proc. Cambridge Philos. Soc. 95 (1984), no. 1, 3--4.
Voloch, Jose Felipe,
Diagonal equations over function fields.
Bol. Soc. Brasil. Mat. 16 (1985), no. 2, 29--39.
W. D. Brownawell and D. W. Masser
Math. Proc. Cambridge Philos. Soc. 100 (1986), no. 3, 427--434
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