P. Kurlberg

activity

19982004

collaborators

Showing 2001Show all

2 papers · 1 filter

math.NT2001

On a character sum problem of H. Cohn

Par Kurlberg

Let $f$ be a complex valued function on a finite field $F$ such that $f (0) = 0$ , $f (1) = 1$ , and $∣ f (x) ∣ = 1$ for $x \neq = 0$ . Cohn asked if it follows that $f$ is a nontrivial mult…

math-ph2001

Value distribution for eigenfunctions of desymmetrized quantum maps

Par Kurlberg, Zeev Rudnick

We study the value distribution and extreme values of eigenfunctions for the ``quantized cat map''. This is the quantization of a hyperbolic linear map of the torus. In a previous…