Milovic, D;
(2017)
On the 16-rank of class groups of of Q( √−8p) for p ≡ −1 mod 4.
Geometric and Functional Analysis
, 27
(4)
pp. 973-1016.
10.1007/s00039-017-0419-6.
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Abstract
We use a variant of Vinogradov’s method to show that the density of the set of prime numbers p ≡ −1 mod 4 for which the class group of the imaginary quadratic number field Q( √−8p) has an element of order 16 is equal to 1/16, as predicted by the Cohen–Lenstra heuristics.
| Type: | Article |
|---|---|
| Title: | On the 16-rank of class groups of of Q( √−8p) for p ≡ −1 mod 4 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00039-017-0419-6 |
| Publisher version: | http://doi.org/10.1007/s00039-017-0419-6 |
| Language: | English |
| Additional information: | c 2017 Springer International Publishing AG. This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Mathematics, NUMBER-FIELDS, DIVISIBILITY, PRIMES |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10033232 |
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