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- W4301652595 abstract "We use the Burgess bound and combinatorial sieve to obtain an upper bound on the number of primes $p$ in a dyadic interval $[Q,2Q]$ for which a given interval $[u+1,u+psi(Q)]$ does not contain a quadratic non-residue modulo $p$. The bound is nontrivial for any function $psi(Q)toinfty$ as $Qtoinfty$. This is an analogue of the well known estimates on the smallest quadratic non-residue modulo $p$ on average over primes $p$, which corresponds to the choice $u=0$." @default.
- W4301652595 created "2022-10-05" @default.
- W4301652595 creator A5030033231 @default.
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- W4301652595 date "2013-11-27" @default.
- W4301652595 modified "2023-10-16" @default.
- W4301652595 title "Quadratic Non-residues in Short Intervals" @default.
- W4301652595 doi "https://doi.org/10.48550/arxiv.1311.7016" @default.
- W4301652595 hasPublicationYear "2013" @default.
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