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Techniques for obtaining estimates
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Estimating sums
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Use Fourier expansion to eliminate nasty cutoffs
Analytic number theory front page
Estimating sums
Fourier transforms front page
Insert constraints into estimates and error terms
Use analytic expressions of constraints in sums or integrals
When controlling an oscillatory integral, bump functions and bounded phase corrections are not very important
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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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