Neumann Dirichlet

» Û ÙÜ ÞÛ Ù WÝږ”WÝÚ`Ø » Ö Ó Ó ÔÕ ©‚¦Í@Ë Ò Ï Ì » » » Ç Û Ù W‹Ú–Ü » » Û Ù W‹Ú`Ø × » Ï Ì ÎÍ@Ë ë is approximately equal to . The prime numbers are quite uniformly distributed, as the following three results illustrate. 4.1 Fact (Dirichlet theorem) If to modulo . A more explicit version of Dirichlet’s theorem is the following. 4.2 Fact Let denote the number of primes in the interval . Then to modulo , where In other words, the prime numbers are roughly uniformly distributed among