{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","description":"This cluster of papers focuses on advanced research in prime number theory, L-functions, and their connections to topics such as the Riemann Zeta function, random matrix theory, arithmetic progressions, Vinogradov's mean value theorem, modular forms, and the distribution of primes. It also delves into the exploration of Euler's constant and its implications in number theory.","keywords":[{"id":"https://openalex.org/keywords/prime-numbers","display_name":"prime numbers","score":0.6907},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.8392},{"id":"https://openalex.org/keywords/riemann-zeta-function","display_name":"Riemann zeta function","score":0.762},{"id":"https://openalex.org/keywords/number-theory","display_name":"number theory","score":0.3347},{"id":"https://openalex.org/keywords/prime-number-distribution","display_name":"prime number distribution","score":0.8957},{"id":"https://openalex.org/keywords/analytic-number-theory","display_name":"analytic number theory","score":0.7992},{"id":"https://openalex.org/keywords/dirichlet-series","display_name":"Dirichlet series","score":0.6297},{"id":"https://openalex.org/keywords/critical-line","display_name":"critical line","score":0.6581},{"id":"https://openalex.org/keywords/prime-gaps","display_name":"prime gaps","score":0.8885},{"id":"https://openalex.org/keywords/asymptotic-formula","display_name":"asymptotic formula","score":0.4064},{"id":"https://openalex.org/keywords/nontrivial-zeros","display_name":"non-trivial zeros","score":0.9471},{"id":"https://openalex.org/keywords/diophantine-approximation","display_name":"Diophantine approximation","score":0.3709},{"id":"https://openalex.org/keywords/goldbach-conjecture","display_name":"Goldbach conjecture","score":0.868},{"id":"https://openalex.org/keywords/dirichlet-l-functions","display_name":"Dirichlet L-functions","score":0.8426},{"id":"https://openalex.org/keywords/zeros-of-the-riemann-zeta-function","display_name":"Riemann zeta function zeros","score":0.726},{"id":"https://openalex.org/keywords/multiplicative-functions","display_name":"multiplicative functions","score":0.8024},{"id":"https://openalex.org/keywords/prime-counting-function","display_name":"prime counting function","score":0.9407},{"id":"https://openalex.org/keywords/integer-factorization","display_name":"integer factorization","score":0.2387},{"id":"https://openalex.org/keywords/arithmetic-functions","display_name":"arithmetic functions","score":0.7088},{"id":"https://openalex.org/keywords/additive-number-theory","display_name":"additive number theory","score":0.5879},{"id":"https://openalex.org/keywords/exponential-sums","display_name":"exponential sums","score":0.6203},{"id":"https://openalex.org/keywords/arithmetic-progressions","display_name":"arithmetic progressions","score":0.2928},{"id":"https://openalex.org/keywords/divisor-function","display_name":"divisor function","score":0.8054},{"id":"https://openalex.org/keywords/zeros-of-the-zeta-function","display_name":"zeros of the zeta function","score":0.9448},{"id":"https://openalex.org/keywords/l-functions","display_name":"L-functions","score":0.4065}],"legacy_keywords":"Primes; L-Functions; Riemann Zeta Function; Random Matrix Theory; Arithmetic Progressions; Vinogradov's Mean Value Theorem; Modular Forms; Number Theory; Distribution of Primes; Euler's Constant","ids":{"openalex":"https://openalex.org/T11166","wikipedia":"https://en.wikipedia.org/wiki/Prime_number_theorem"},"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities"},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra"},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras"},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications"}],"works_count":118938,"cited_by_count":578565,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T11166","updated_date":"2026-10-18T03:01:31","created_date":"2024-01-23T15:27:09"}