LEADER 02723nam 2200613Ia 450 001 9910450130303321 005 20200520144314.0 010 $a1-281-87225-3 010 $a9786611872250 010 $a981-256-227-3 035 $a(CKB)1000000000033299 035 $a(EBL)227139 035 $a(OCoLC)475933041 035 $a(SSID)ssj0000103015 035 $a(PQKBManifestationID)11126840 035 $a(PQKBTitleCode)TC0000103015 035 $a(PQKBWorkID)10060433 035 $a(PQKB)11536663 035 $a(MiAaPQ)EBC227139 035 $a(WSP)00005605 035 $a(Au-PeEL)EBL227139 035 $a(CaPaEBR)ebr10079928 035 $a(CaONFJC)MIL187225 035 $a(EXLCZ)991000000000033299 100 $a20041124d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnalytic number theory$b[electronic resource] $ean introductory course /$fPaul T. Bateman, Harold G. Diamond 210 $aNew Jersey $cWorld Scientific$dc2004 215 $a1 online resource (375 p.) 300 $aDescription based upon print version of record. 311 $a981-238-938-5 320 $aIncludes bibliographical references (p. 353-354) and indexes. 327 $aAnalytic Number Theory: An Introductory Course; Preface; Contents; Chapter 1 Introduction; Chapter 2 Calculus of Arithmetic Functions; Chapter 3 Summatory Functions; Chapter 4 The Distribution of Prime Numbers; Chapter 5 An Elementary Proof of the P.N.T.; Chapter 6 Dirichlet Series and Mellin Transforms; Chapter 7 Inversion Formulas; Chapter 8 The Riemann Zeta Function; Chapter 9 Primes in Arithmetic Progressions; Chapter 10 Applications of Characters; Chapter 11 Oscillation Theorems; Chapter 12 Sieves; Chapter 13 Application of Sieves; Appendix A Results from Analysis and Algebra 327 $aBibliographyIndex of Names and Topics; Index of Symbols 330 $aThis valuable book focuses on a collection of powerful methods ofanalysis that yield deep number-theoretical estimates. Particularattention is given to counting functions of prime numbers andmultiplicative arithmetic functions. Both real variable (""elementary"")and complex variable (""analytic"") methods are employed. 606 $aNumber theory 606 $aMathematical analysis 608 $aElectronic books. 615 0$aNumber theory. 615 0$aMathematical analysis. 676 $a512.73 700 $aBateman$b P. T$0903135 701 $aDiamond$b Harold G.$f1940-$058232 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450130303321 996 $aAnalytic number theory$92018905 997 $aUNINA