The Large Sieve

Joel Rivat (1)

1 I2M - Institut de Mathématiques de Marseille

This “constructive” approach is the right one to implement “concretely” a sieve, on a computer for example, but in theoretical problems we do rather ask the question directly from the resulting sequence, and this is the point of view we shall adopt in the whole sequel.

Mots clés: Analytic Form; The Beurling–Selberg Function; Arithmetic Form; Twin Prime Numbers; Sums of Characters; Double Large Sieve

Domaines: Théorie des nombres [math.NT]

Joel Rivat. The Large Sieve. Ferenczi, S; KulagaPrzymus, J; Lemanczyk, M. ERGODIC THEORY AND DYNAMICAL SYSTEMS IN THEIR INTERACTIONS WITH ARITHMETICS AND COMBINATORICS, 2213, SPRINGER INTERNATIONAL PUBLISHING AG, pp.53-78, 2018, Lecture Notes in Mathematics, 978-3-319-74908-2; 978-3-319-74907-5. ⟨10.1007/978-3-319-74908-2_6⟩. ⟨hal-02017095⟩