Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11012896 | Journal of Number Theory | 2019 | 14 Pages |
Abstract
We show that under repeated differentiation, the zeros of the Selberg Î-function become more evenly spaced out, but with some scaling towards the origin. We do this by showing the high derivatives of the Î-function converge to the cosine function, and this is achieved by expressing a product of Gamma functions as a single Fourier transform.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jos Gunns, Christopher Hughes,