article published yes Régis de la Bretèche author Vivian Zieve Kuperberg author c3bac823-112d-11f0-a3f5-c264f852e697 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. Springer Nature2025 eng 0021-2172 1565-8511 2305.0266210.1007/s11856-024-2711-0 2671437-461 yes 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>. 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. 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. 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> R. de la Bretèche, V.Z. Kuperberg, Israel Journal of Mathematics 267 (2025) 437–461. 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>. 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> 222012026-06-29T13:00:06Z2026-07-14T11:28:49Z