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LeanPool
.
Odlyzko
.
TestFunction
.
Amplitude
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source
Imports
Init
LeanPool.Odlyzko.TestFunction.Basic
Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
Imported by
NumberField
.
Odlyzko
.
tartarAmplitude_eq_of_ne
NumberField
.
Odlyzko
.
tartarAmplitude_continuousAt_of_ne
NumberField
.
Odlyzko
.
tartarTestFunction_measurable
TODO: Add doc-string.
source
theorem
NumberField
.
Odlyzko
.
tartarAmplitude_eq_of_ne
{
x
:
ℝ
}
(
hx
:
x
≠
0
)
:
Tartar.amplitude
x
=
3
*
(
Real.sin
x
-
x
*
Real.cos
x
)
/
x
^
3
source
theorem
NumberField
.
Odlyzko
.
tartarAmplitude_continuousAt_of_ne
{
x
:
ℝ
}
(
hx
:
x
≠
0
)
:
ContinuousAt
Tartar.amplitude
x
source
theorem
NumberField
.
Odlyzko
.
tartarTestFunction_measurable
:
Measurable
Tartar.testFunction