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- W2055837562 abstract "Given f in Z[x_1,...,x_n], we compute the density of x in Z^n such that f(x) is squarefree, assuming the abc conjecture. Given f,g in Z[x_1,...,x_n], we compute unconditionally the density of x in Z^n such that gcd(f(x),g(x))=1. Function field analogues of both results are proved unconditionally. Finally, assuming the abc conjecture, given f in Z[x], we estimate the size of the image of f({1,2,...,n}) in (Q^*/Q^*2) union {0}." @default.
- W2055837562 created "2016-06-24" @default.
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- W2055837562 date "2003-06-01" @default.
- W2055837562 modified "2023-09-30" @default.
- W2055837562 title "Squarefree values of multivariable polynomials" @default.
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- W2055837562 doi "https://doi.org/10.1215/s0012-7094-03-11826-8" @default.
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