Linked from

The 15 pages that link to Analytic number theory, each with the reason it gives.

• Dirichlet's theorem on arithmetic progressionsNarrower topic: The proof helped establish analysis as a tool for proving arithmetic existence results.

• Euler productNarrower topic: Euler products became a central tool for translating prime structure into analytic behavior.

• G. H. HardyNarrower topic: It is the field in which Hardy made many of his central contributions.

• Mellin transformNarrower topic: Mellin transforms relate arithmetic sums to zeta and L-functions.

• Peter Gustav Lejeune DirichletNarrower topic: Dirichlet’s proof of his theorem on primes helped establish this field.

• q-seriesNarrower topic: Analytic properties of q-series provide tools for estimating arithmetic coefficients.

• Chebotarev density theoremNarrower topic: The density proof uses analytic control of zeta and L-functions.

• Elliott–Halberstam conjectureNarrower topic: The conjecture belongs to the analytic study of primes and their distribution.

• Basel problemNarrower topic: The problem helped show how analytic tools can reveal exact arithmetic sums.

• John Edensor LittlewoodNarrower topic: It is the broad field in which many of Littlewood’s best-known results sit.

• Bunyakovsky conjectureNarrower topic: The conjecture became part of the developing study of prime distribution.

• Equidistribution theoremNarrower topic: Weyl’s theorem exemplifies analytic methods applied to arithmetic sequences.