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arXiv · 1712.07179

A note on Linnik's Theorem on quadratic non-residues

Paul Balister·Béla Bollobás·Jonathan D. Lee·Robert Morris·Oliver Riordan
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Abstract

We present a short, self-contained, and purely combinatorial proof of Linnik's theorem: for any $\varepsilon > 0$ there exists a constant $C_\varepsilon$ such that for any $N$, there are at most $C_\varepsilon$ primes $p \leqslant N$ such that the least positive quadratic non-residue modulo $p$ exceeds $N^\varepsilon$.

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Paul Balister, Béla Bollobás, Jonathan D. Lee, Robert Morris, Oliver Riordan. 2017-12-19. A note on Linnik's Theorem on quadratic non-residues. https://arxiv.org/abs/1712.07179

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