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Chebyshev estimate
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Area of mathematics
Number theory
Arithmetic function
Von Mangoldt function
Chebyshev function
Second Chebyshev function
2026-10-03
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The Chebyshev estimate is
ψ
(
x
)
≍
x
.
(1)
It gives upper and lower bounds of the correct
linear order
without asserting the
Prime number theorem
asymptotic
ψ
(
x
)
∼
x
.
Ancestors
(8)
Second Chebyshev function
Chebyshev function
Von Mangoldt function
Arithmetic function
Number theory
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 150
/
1
/
a
/
Solution
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