4 lives in this collection worked in analytic number theory, from 1826 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: complex analysis, differential geometry. All fields
Founder of Riemann surfaces and Riemannian geometry, and author of the 1859 paper linking the primes to the zeros of the zeta function.
complex analysis, differential geometry, analytic number theory
French analyst who proved the prime number theorem, created the theory of entire functions of finite order, and introduced well-posed problems, Hadamard matrices and the study of chaotic geodesic flows.
complex analysis, analytic number theory, differential geometry
Cambridge analyst who, with Littlewood and Ramanujan, created the circle method and much of modern analytic number theory, and who brought rigorous analysis into English mathematics.
analytic number theory, mathematical analysis, population genetics
Norwegian number theorist who created the Selberg sieve, an elementary proof of the prime number theorem and the Selberg trace formula.
analytic number theory, automorphic forms, spectral theory