Bombieri's Theorem in Short Intervals

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Abstract

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.

Keywords:

prime number Bombieri's theorem in short interval Dirichlet polynomial.
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Bombieri’s Theorem in Short Intervals. (2021). Communications in Mathematical Research, 28(2), 173-180. https://www.global-sci.com/index.php/cmr/article/view/8730