Number Theory Seminar. Debmalya Basak. Gaussian Phenomena for Small Quadratic Residues and Non-Residues
Apr 18, 2023 11:00 am
Altgeld 241
- Sponsor
- Department of Mathematics
- Speaker
- Debmalya Basak
- Contact
- Kevin Ford
- ford126@illinois.edu
- Views
- 36
- Originating Calendar
- Mathematics Seminar Series: Number Theory
- Title : Gaussian Phenomena for Small Quadratic Residues and Non-ResiduesAbstract : Assuming the Generalized Riemann Hypothesis, it is known that the smallest quadratic non-residue modulo a prime $p$ is less than or equal to $(log p)^2$. In this talk, we will discuss the distribution of quadratic non-residues in even smaller intervals of size $(lop p)^A$ with $A>1$, for almost all primes $p$. We will begin with some background on quadratic non-residues and then give a brief outline of the proof. This is joint work with Kunjakanan Nath and Alexandru Zaharescu.