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Montgomery, Hugh L.

Topics in Multiplicative Number Theory [electronic resource] / by Hugh L. Montgomery. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1971. - IX, 178 p. online resource. - Lecture Notes in Mathematics, 227 0075-8434 ; . - Lecture Notes in Mathematics, 227 .

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.

ISBN: 9783540369356

Standard No.: 10.1007/BFb0060851 doi

Subjects--Topical Terms:
Mathematics.
Number theory.
Mathematics.
Number Theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7