Lower bounds on weighted moments of primes in short intervals in number fields
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.
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Author
de la Bretèche, Régis;
Kuperberg, Vivian ZieveISTA
Abstract
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.
Publishing Year
Date Published
2025-06-01
Journal Title
Israel Journal of Mathematics
Publisher
Springer Nature
Volume
267
Issue
1
Page
437-461
ISSN
eISSN
IST-REx-ID
Cite this
de la Bretèche R, Kuperberg VZ. Lower bounds on weighted moments of primes in short intervals in number fields. Israel Journal of Mathematics. 2025;267(1):437-461. doi:10.1007/s11856-024-2711-0
de la Bretèche, R., & Kuperberg, V. Z. (2025). Lower bounds on weighted moments of primes in short intervals in number fields. Israel Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s11856-024-2711-0
Bretèche, Régis de la, and Vivian Zieve Kuperberg. “Lower Bounds on Weighted Moments of Primes in Short Intervals in Number Fields.” Israel Journal of Mathematics. Springer Nature, 2025. https://doi.org/10.1007/s11856-024-2711-0.
R. de la Bretèche and V. Z. Kuperberg, “Lower bounds on weighted moments of primes in short intervals in number fields,” Israel Journal of Mathematics, vol. 267, no. 1. Springer Nature, pp. 437–461, 2025.
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.
de la Bretèche, Régis, and Vivian Zieve Kuperberg. “Lower Bounds on Weighted Moments of Primes in Short Intervals in Number Fields.” Israel Journal of Mathematics, vol. 267, no. 1, Springer Nature, 2025, pp. 437–61, doi:10.1007/s11856-024-2711-0.
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