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Zeros Of Sparse Polynomials Over Local Fields Of Characteristic p  (Make Corrections)  
Bjorn Poonen



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Abstract: This article has appeared in Math. Res. Lett. 5 (1998), 273--279, c #MRL 1998. 1 2 BJORN POONEN uniformly the number of factors of given degree over number fields. In [Le2] he shows that if f is represented sparsely, then these factors can be found in polynomial time. Remark. We cannot count multiplicities in either of our theorems and hope to obtain a bound depending only on k and K (and d, for Theorem 2), because of examples like f(x) = (1+x) q m with m ##. Requiring that f not be a ... (Update)

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BibTeX entry:   (Update)

@misc{ poonen-zeros,
  author = "Bjorn Poonen",
  title = "Zeros Of Sparse Polynomials Over Local Fields Of Characteristic p",
  url = "citeseer.ist.psu.edu/464519.html" }
Citations (may not include all citations):
6   the factorization of lacunary polynomials (context) - Lenstra, On - 1998
5   Department of Mathematics (context) - Stanley, Combinatorics et al. - 1997
3   Mathematical Surveys (context) - Schilling, of - 1950
1   to appear in Number Theory in Progress (context) - Finding, factors et al. - 1998

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