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Project-declaredLean 4.32.0

Sin div error interval bound

sin_div_error_interval_bound

Plain-language statement

Interval form of sin_div_error_pointwise_bound: integrating the pointwise bound over [-1, 1] controls the windowed error integral by (D / π) · vol (Ioc (-1) 1).

analytic number theoryprime numbersasymptotics

Source project: Prime Number Theorem and More

Person-level attribution pending.

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Project-declaredLean 4.32.0

Sin div error pointwise bound

sin_div_error_pointwise_bound

Plain-language statement

Pointwise bound on the sin-div windowed error term: scaling by the normalized sinc kernel and a mean-value estimate on g (x - u) - g x gives a bound D / π that is independent of the height T.

analytic number theoryprime numbersasymptotics

Source project: Prime Number Theorem and More

Person-level attribution pending.

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