Arithmetic implications of the distribution of integral zeros of exponential polynomials
Alfred J. Van der Poorten (1974-1975)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Alfred J. Van der Poorten (1974-1975)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Toufik Zaïmi (2011)
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Acta Arithmetica
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Wolfgang Schmidt (1977)
Acta Arithmetica
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W. Coppel (1959)
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E. Dobrowolski (1980)
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We present an implemented algorithmic method for counting and isolating all p-adic roots of univariate polynomials f over the rational numbers. The roots of f are uniquely described by p-adic isolating balls, that can be refined to any desired precision; their p-adic distances are also computed precisely. The method is polynomial space in all input data including the prime p. We also investigate the uniformity of the method with respect to the coefficients of f and the primes p. Our...
I. R. Shafarevich (1999)
The Teaching of Mathematics
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Acta Arithmetica
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