A construction of polynomials with squarefree discriminants
For any integer n ≥ 2 and any nonnegative integers r, swith r+2s = n, we give an unconditional construction of infinitely many monic irreducible polynomials of degree n with integer coefficients having squarefree discriminant and exactly r real roots. These give rise to number fields of degree n, si...
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| Format: | Article |
| Language: | en_US |
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American Mathematical Society (AMS)
2013
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| Online Access: | http://hdl.handle.net/1721.1/80368 |