Timeline for Families of number fields of prime discriminant
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 18, 2010 at 1:28 | comment | added | Frank Thorne | Dror - interesting suggestion! I'm not familiar enough with Heath-Brown's results to hazard a guess. | |
| Nov 17, 2010 at 20:02 | comment | added | Dror Speiser | @Frank: I wonder how far Heath-Brown's results on primes represented by binary cubic forms can be extended to proving infinitely many primes represented by the discriminant form (of a general cubic). Sure - the degree goes up by one, but the number of variables goes up by two! | |
| Nov 17, 2010 at 12:43 | comment | added | Cam McLeman | Oops. . | |
| Nov 17, 2010 at 7:00 | comment | added | Dror Speiser | Simplest cubic fields have a square discriminant. | |
| Nov 17, 2010 at 2:07 | comment | added | Cam McLeman | You can find infinitely many cubic fields of prime discriminant if you assume a conjecture of Hardy and Littlewood on primes in quadratic progressions -- just take the "simplest cubic fields" where the quadratic function giving the discriminant represents a prime value. | |
| Nov 17, 2010 at 0:24 | history | answered | Frank Thorne | CC BY-SA 2.5 |