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AuthorMontgomery, Hugh L. author
TitleTopics in Multiplicative Number Theory [electronic resource] / by Hugh L. Montgomery
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1971
Connect tohttp://dx.doi.org/10.1007/BFb0060851
Descript IX, 178 p. online resource

CONTENT

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 โ{128}{148} Vinogradov theorem -- A lemma in additive prime number theory -- The mean value theorem of Barban


Mathematics Number theory Mathematics Number Theory



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