Distinct zeros of the Riemann zeta-functions
Wu Xiaosheng
TL;DR
This paper proves that over 66% of the zeros of the Riemann zeta-function are distinct, advancing understanding of their distribution.
Contribution
It establishes a new lower bound on the proportion of distinct zeros of the Riemann zeta-function.
Findings
More than 66.036% of zeros are distinct
Provides a quantitative measure of zero multiplicity
Enhances knowledge of zero distribution in analytic number theory
Abstract
In this paper, we prove that there are more than 66.036% of zeros of the Riemann zeta-function are distinct.
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Taxonomy
TopicsAnalytic Number Theory Research · Analytic and geometric function theory · Meromorphic and Entire Functions