---
OA_place: repository
OA_type: green
_id: '22201'
abstract:
- lang: eng
  text: We consider an analog of a conjecture of Montgomery and Soundararajan on the
    moments of primes in short intervals in number fields; this analog was discussed
    and heuristically derived in a paper of the second author, Rodgers, and Roditty-Gershon.
    Adapting work of the first author and Fiorilli in the integer case, we establish
    lower bounds on a weighted version of these moments which agree with the conjectured
    values.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Régis
  full_name: de la Bretèche, Régis
  last_name: de la Bretèche
- first_name: Vivian Zieve
  full_name: Kuperberg, Vivian Zieve
  id: c3bac823-112d-11f0-a3f5-c264f852e697
  last_name: Kuperberg
citation:
  ama: de la Bretèche R, Kuperberg VZ. Lower bounds on weighted moments of primes
    in short intervals in number fields. <i>Israel Journal of Mathematics</i>. 2025;267(1):437-461.
    doi:<a href="https://doi.org/10.1007/s11856-024-2711-0">10.1007/s11856-024-2711-0</a>
  apa: de la Bretèche, R., &#38; Kuperberg, V. Z. (2025). Lower bounds on weighted
    moments of primes in short intervals in number fields. <i>Israel Journal of Mathematics</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s11856-024-2711-0">https://doi.org/10.1007/s11856-024-2711-0</a>
  chicago: Bretèche, Régis de la, and Vivian Zieve Kuperberg. “Lower Bounds on Weighted
    Moments of Primes in Short Intervals in Number Fields.” <i>Israel Journal of Mathematics</i>.
    Springer Nature, 2025. <a href="https://doi.org/10.1007/s11856-024-2711-0">https://doi.org/10.1007/s11856-024-2711-0</a>.
  ieee: R. de la Bretèche and V. Z. Kuperberg, “Lower bounds on weighted moments of
    primes in short intervals in number fields,” <i>Israel Journal of Mathematics</i>,
    vol. 267, no. 1. Springer Nature, pp. 437–461, 2025.
  ista: de la Bretèche R, Kuperberg VZ. 2025. Lower bounds on weighted moments of
    primes in short intervals in number fields. Israel Journal of Mathematics. 267(1),
    437–461.
  mla: de la Bretèche, Régis, and Vivian Zieve Kuperberg. “Lower Bounds on Weighted
    Moments of Primes in Short Intervals in Number Fields.” <i>Israel Journal of Mathematics</i>,
    vol. 267, no. 1, Springer Nature, 2025, pp. 437–61, doi:<a href="https://doi.org/10.1007/s11856-024-2711-0">10.1007/s11856-024-2711-0</a>.
  short: R. de la Bretèche, V.Z. Kuperberg, Israel Journal of Mathematics 267 (2025)
    437–461.
date_created: 2026-06-29T13:00:06Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2026-07-14T11:28:49Z
day: '01'
doi: 10.1007/s11856-024-2711-0
extern: '1'
external_id:
  arxiv:
  - '2305.02662'
intvolume: '       267'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2305.02662
month: '06'
oa: 1
oa_version: Preprint
page: 437-461
publication: Israel Journal of Mathematics
publication_identifier:
  eissn:
  - 1565-8511
  issn:
  - 0021-2172
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Lower bounds on weighted moments of primes in short intervals in number fields
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 267
year: '2025'
...