Document Type
Lecture
Publication Date
3-25-2009
Abstract
An important problem in number theory is to study the distribution of the non-trivial zeros of the Riemann zeta-function which, if one is willing to assume the Riemann Hypothesis, all lie on a vertical line. It is relatively easy to count how many of these zeros lie in a large interval, so the average spacing between consecutive zeros is easy to compute. However, it is a difficult and interesting problem to show that there are many consecutive zeros that have spacings that are larger or smaller than average. In this talk I will describe a method that shows there are infinitely many pairs of consecutive zeros of the zeta-function where the gap between them is more than 3 times the average spacing.
Relational Format
presentation
Recommended Citation
Bui, Hung Manh, "Gaps between consecutive zeros of the Riemann zeta-function" (2009). Algebra/Number Theory Seminar. 49.
https://egrove.olemiss.edu/math_algebra_number_theory/49
