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On the 16-rank of class groups of Q( √ −2p) for primes p ≡ 1 mod 4

Koymans, P; Milovic, D; (2019) On the 16-rank of class groups of Q( √ −2p) for primes p ≡ 1 mod 4. International Mathematics Research Notices , 2019 (23) pp. 7406-7427. 10.1093/imrn/rny010. Green open access

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Abstract

We use Vinogradov’s method to prove equidistribution of a spin symbol governing the 16-rank of class groups of quadratic number fields Q( √ −2p), where p ≡ 1 mod 4 is a prime.

Type: Article
Title: On the 16-rank of class groups of Q( √ −2p) for primes p ≡ 1 mod 4
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/imrn/rny010
Publisher version: https://doi.org/10.1093/imrn/rny010
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
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-pp.ucl.ac.uk/id/eprint/10071048
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