1 Answers
In the study of the Riemann hypothesis, a Lehmer pair is a pair of zeros of the Riemann zeta function that are unusually close to each other. They are named after Derrick Henry Lehmer, who discovered the pair of zeros
.
More precisely, a Lehmer pair can be defined as having the property that their complex coordinates γ n {\displaystyle \gamma _{n}} and γ n + 1 {\displaystyle \gamma _{n+1}} obey the inequality
for a constant C > 5 / 4 {\displaystyle C>5/4}.
4 views
Answered