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: | English |
| Published: |
American Mathematical Society (AMS),
2013-09-06T16:51:46Z.
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| Online Access: | Get fulltext |