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We consider an analog of a conjecture of Montgomery and Soundararajan on themoments of primes in short intervals in number fields; this analog wasdiscussed and heuristically derived in a paper of the second author, Rodgers,and Roditty-Gershon. Adapting work of the first author and Fiorilli in theinteger case, we establish lower bounds on a weighted version of these momentswhich agree with the conjectured values.

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