2023/05/04 by de la Bretèche, Régis, Kuperberg, Vivian
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2305.02662
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.