feat(Analysis/SumIntegralComparisons): add sum-integral estimates for x^k * exp(-cx)#37597
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… `x^k * exp(-cx)` Add bounds for sums and integrals of `x^k * exp(-cx)`: - `intervalIntegral_pow_mul_exp_neg_le` - `sum_Ico_pow_mul_exp_neg_le` - `sum_Iic_pow_mul_exp_neg_le` - `sum_Iic_pow_mul_two_pow_neg_le` Upstreamed from the [Carleson](https://github.com/fpvandoorn/carleson) project. Co-authored-by: Sébastien Gouëzel <[email protected]>
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PR summary f51efbe0b8Import changes exceeding 2%
|
| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Analysis.SumIntegralComparisons | 2312 | 2500 | +188 (+8.13%) |
Import changes for all files
| Files | Import difference |
|---|---|
Mathlib.NumberTheory.Harmonic.Bounds |
26 |
Mathlib.Analysis.SumIntegralComparisons |
188 |
Declarations diff
+ intervalIntegral_pow_mul_exp_neg_le
+ sum_Ico_pow_mul_exp_neg_le
+ sum_Iic_pow_mul_exp_neg_le
+ sum_Iic_pow_mul_two_pow_neg_le
You can run this locally as follows
## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.
No changes to technical debt.
You can run this locally as
./scripts/reporting/technical-debt-metrics.sh pr_summary
- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
b-mehta
reviewed
Apr 3, 2026
…ow_mul_exp_neg_mul_Ioi
…_exp_neg_le Inline the `key` hypothesis, simplify the `setIntegral_congr_fun` step, and tighten the `setIntegral_mono_set` argument using `refine`.
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Add bounds for sums and integrals of
x^k * exp(-cx):intervalIntegral_pow_mul_exp_neg_lesum_Ico_pow_mul_exp_neg_lesum_Iic_pow_mul_exp_neg_lesum_Iic_pow_mul_two_pow_neg_leUpstreamed from the Carleson project.
Co-authored-by: Sébastien Gouëzel [email protected]