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6 - Motivating Motives
Indeed the Riemann Hypothesis:
All nontrivial Riemann zeta zeros lie on the line Re(
z
) = 1/2
is equivalent to the claim that
|
π
(
n
)
−
l
i
(
n
)
|
≤
C
√
n
ln
n
for some
C
≥ 0 for all
n
≥ 1.