TY - BOOK AU - Montgomery,Hugh L. ED - SpringerLink (Online service) TI - Topics in Multiplicative Number Theory T2 - Lecture Notes in Mathematics, SN - 9783540369356 AV - QA241-247.5 U1 - 512.7 23 PY - 1971/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Number theory KW - Number Theory N1 - Three basic principles -- The large sieve -- Arithmetic formulations of the large sieve -- A weighted sieve and its application -- A lower bound of Roth -- Classical mean value theorems -- New mean value theorems -- Large moduli theorems -- Further results and conjectures concerning mean and large moduli -- Mean moduli of L-functions -- Zero-free regions and the proliferation of zeros -- Distribution of zeros of L-functions -- Least character non-residues and arg L(12+it, x) -- The prime number theorems of Hoheisel and Selberg -- The bombieri — Vinogradov theorem -- A lemma in additive prime number theory -- The mean value theorem of Barban UR - http://dx.doi.org/10.1007/BFb0060851 ER -