TY - JOUR T1 - Bombieri's Theorem in Short Intervals AU - Lao , Huixue JO - Communications in Mathematical Research VL - 2 SP - 173 EP - 180 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19055.html KW - prime number, Bombieri's theorem in short interval, Dirichlet polynomial. AB -
Under the assumption of sixth power large sieve mean-value of Dirichlet $L$-function, we improve Bombieri's theorem in short intervals by virtue of the large sieve method and Heath-Brown's identity.