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    1988
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    exponential diophantine equations
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    survey
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    upper bounds in two variables case
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    applications to sums of products of given primes
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    applications to finitely generated groups
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    applications to recurrence sequences of complex numbers
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    applications to recurrence sequences of algebraic numbers
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    applications to irreducible polynomials and arithmetic graphs
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    applications to decomposable form equations
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    applications to algebraic number theory
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    applications to transcendental number theory
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    S-unit equations
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    effective upper bounds
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    heights
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    rational integer case
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    conjecture of Newman
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