Distribution of zeros of entire functions Levin B.Ja.
Publisher: AMS

Dyson conjectures that each generalized zeta function (or rather, L-function) corresponds to one particular 1-D QC and that Riemann zeta corresponds to one very special 1-D QC. Where f is an entire function and λn is the nth element of a sequence of real numbers. Function on a circle and the distribution of its zeros inside. There are also intriguing connections with TGD, which One obtains the distribution of zeros of ordinary Riemann zeta at each line s= 1/2+ yI, I any quaternionic unit and the loci of zeros would correspond to entire 2-spheres. George Csordas, Alain Escassut. And the identity (2.7) shows that h is an entire function with less zeros than. There are numerous known results on the distribution of values of entire and. AN EXTREMAL PROPERTY OF ENTIRE FUNCTIONS WITH POSITIVE ZEROS 39. The Laguerre inequality and the distribution of zeros of entire functions. Second, two entire functions with the same zeros of the same orders coincide only up to .. They serve as a testing function to study the distribution of the zeros of real entire functions of exponential type. He asks what one can say about the distribution of the zeros of the entire function at any parameter of Zp.