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arXiv · 2305.02662

Lower bounds on weighted moments of primes in short intervals in number fields

Régis de la Bretèche·Vivian Kuperberg
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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.

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Régis de la Bretèche, Vivian Kuperberg. 2023-05-04. Lower bounds on weighted moments of primes in short intervals in number fields. https://arxiv.org/abs/2305.02662

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