Hall 123

Good sequences of integers

Tanmoy Bera

IMSc

For a given real number $\alpha$, a sequence of real numbers $\{x_n\}$ is said to be $\alpha$-good if $\{\alpha x_n \}$ is uniformly distributed mod 1. In this talk, we will prove that for a a real number $\beta$, the integer sequence $\{[n \beta]\}$ is $\alpha$-good under certain conditions on $\alpha$ and $\beta$. More generally, for a polynomial $P(x)$ with real coefficients, we will discuss the also discuss the case for the integer sequence $\{[P(n)]\}$.

Note: This is an in-person seminar. Please follow all covid protocols.