Topics in Multiplicative Number Theory
Montgomery, Hugh L.
Topics in Multiplicative Number Theory [electronic resource] / by Hugh L. Montgomery. - 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.
9783540369356
10.1007/BFb0060851 doi
Number theory.
Number Theory.
QA241-247.5
512.7
Topics in Multiplicative Number Theory [electronic resource] / by Hugh L. Montgomery. - 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.
9783540369356
10.1007/BFb0060851 doi
Number theory.
Number Theory.
QA241-247.5
512.7