Abstract
It is known that under the Generalized Riemann Hypothesis, the smallest quadratic non-residue modulo a prime p is less than or equal to (log p)2. In ranges slightly larger, of size (log p)A with A > 2, we consider chains of r consecutive quadratic non-residues. We prove unconditionally that for almost all primes p in short intervals, these chains exhibit Poisson behavior.
| Original language | English (US) |
|---|---|
| Article number | rnad168 |
| Pages (from-to) | 3356-3390 |
| Number of pages | 35 |
| Journal | International Mathematics Research Notices |
| Volume | 2024 |
| Issue number | 4 |
| Early online date | Jul 24 2023 |
| DOIs | |
| State | Published - Feb 1 2024 |
ASJC Scopus subject areas
- General Mathematics
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