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Techniques for obtaining estimates
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Estimating integrals
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Interchange integrals or sums
Control level sets
Estimating integrals
Methods for simplifying integrals
Partial summation
Use an appropriate series expansion
Use Fourier expansion to eliminate nasty cutoffs
Which integrals are simpler to integrate
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Littlewood-Paley heuristic for derivative
Geometric view of Hölder's inequality
Diagonal arguments
Finding an interval for rational numbers with a high denominator
Try to prove a stronger result
Use self-similarity to get a limit from an inferior or superior limit.
Prove a consequence first
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