02331nam 2200577 450 99646650240331620220304191619.03-540-36935-X10.1007/BFb0060851(CKB)1000000000438570(SSID)ssj0000327299(PQKBManifestationID)12090978(PQKBTitleCode)TC0000327299(PQKBWorkID)10301417(PQKB)10206108(DE-He213)978-3-540-36935-6(MiAaPQ)EBC5595493(Au-PeEL)EBL5595493(OCoLC)1076261814(MiAaPQ)EBC6842531(Au-PeEL)EBL6842531(OCoLC)1292363584(PPN)155225464(EXLCZ)99100000000043857020220304d1986 uy 0engurnn|008mamaatxtccrTopics in multiplicative number theory /Hugh L. Montgomery1st ed. 1971.Berlin, Heidelberg :Springer-Verlag,[1986]©19861 online resource (IX, 178 p.) Lecture Notes in Mathematics,0075-8434 ;227Bibliographic Level Mode of Issuance: Monograph3-540-05641-6 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.Lecture Notes in Mathematics,0075-8434 ;227Number theoryNumber theory.512.7Montgomery Hugh L.57521MiAaPQMiAaPQMiAaPQBOOK996466502403316Topics in multiplicative number theory81558UNISA