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

التفاصيل البيبلوغرافية
العنوان: Lower bounds on weighted moments of primes in short intervals in number fields
المؤلفون: de la Bretèche, Régis, Kuperberg, Vivian
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory
الوصف: 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.
Comment: 13 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2305.02662
رقم الأكسشن: edsarx.2305.02662
قاعدة البيانات: arXiv