Entire Functions of Order Zero with Zeros on a Logarithmic Spiral

Binomial asymptotics for the logarithmic derivative of zero-order entire functions with zeros along curves of regular rotation

“…and the existence of υ-density of zeros of f along such curves. We note that the Valiron-type and Valiron-Titchmarsh-type theorems on the relationship between the regular behavior of logarithm of f , which belongs to the class H 0 , and the asymptotics of the counting function of zeros of f , which are located on a logarithmic spiral, are proved in [9].…”