Young-One Kim

De Bruijn’s question on the zeros of Fourier transforms

AbstractLetf(z) be a real entire function of genus 1*, δ≥0, and suppose that for each ε>0, all but a finite number of the zeros off(z) lie in the strip |Imz| ≤δ+ε. Let λ be a positive constant such that

A Generalization of Newman’s Result on the Zeros of Fourier Transforms

\lim \sup _{r \to \infty } \log M\left( {r;f} \right)/r^2< 1/\left( {4\lambda } \right)

A zeta function for flip systems

. It is shown that for each ε>0, all but a finite number of the zeros of the entire function

On the Zeros of Some Generalized Hypergeometric Functions

e^{ - \lambda D^2 } f(z) : = \sum {_{m = 1}^\infty ( - \lambda )^m f^{2m} (z)/m!}

On the de BruijnNewman constant

lie in the strip