... is am-i = qmam + am+]. It follows that Bam-i = &,Barn + Bam+l for some integer Qm , for the reader may verify that Barn-, = sam-' - = '%+I BPmQm + BPmam + ... a1 - -_ - 1 Qn b qo +- 1 q1 + - q2 + -, and, specifically, Similarly from (e) above, we have 3x2 - lox + 7 - 9 - x3 - 5s' + 7~ - 3 (32 - 5) - 8 (32 - 7) ... Problems in Number Theory . f(.) =-* g(x) Lim - = 1 . Theorem 9. (The Prime Number Theorem, conjectured by Legendre, Gauss, Dirichlet, Chebgshev, and Riemann; proven by Hadamard...