Topics in Multiplicative Number Theory [electronic resource] / by Hugh L. Montgomery.
Material type: TextSeries: Lecture Notes in Mathematics ; 227Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1971Description: IX, 178 p. online resourceContent type:- text
- computer
- online resource
- 9783540369356
- 512.7 23
- QA241-247.5
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.
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