Distribution of Roots of Polynomial Congruences
For a prime p, we obtain an upper bound on the discrepancy of fractions r/p, where r runs through all of roots modulo p of all monic univariate polynomials of degree d whose vector of coefficients belongs to a d-dimensional box ℬ. The bound is nontrivial starting with boxes ℬ of size |ℬ|≥pd/2+ɛ for...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/37853 |