Linked from

The 10 pages that link to Circle method, each with the reason it gives.

• Srinivasa RamanujanRelated: Hardy and Ramanujan used it to derive the partition asymptotic formula.

• Additive number theoryRelated: It estimates representation counts, especially for sums of primes or powers.

• Exponential sumRelated: It converts representation counts into integrals involving exponential sums.

• Waring's problemNarrower topic: It provides a standard tool for estimating representations by kth powers.

• Vinogradov's theoremNarrower topic: Vinogradov's successful application helped establish the method as a central tool in additive number theory.

• Gauss circle problemCompared with: Despite the shared name, this method addresses additive equations rather than counting points in a disk.

• Birch's theoremRelated: Birch proves the asymptotic formula by adapting this method to several forms.

• Friedlander–Iwaniec theoremCompared with: It is a different major approach to polynomial prime problems, rather than the proof's sieve framework.

• Goldbach–Euler theoremRelated: It underlies major partial results on sums of primes.

• Ono's inequalityRelated: It is a central analytic technique behind sharp estimates for partition numbers.