MARC Record from marc_columbia

LEADER: 03215cam a2200385 a 4500
001 5519262
005 20221121180808.0
008 000619s2000 nyu b 001 0 eng
010 $a 00056313
020 $a0387950974 (acid-free paper)
035 $a(OCoLC)ocm44469053
035 $a(NNC)5519262
035 $a5519262
040 $aDLC$cDLC$dOHX$dC#P$dMUQ$dOCLCQ$dBAKER$dOrLoB-B
050 00 $aQA241$b.D32 2000
072 7 $aQA$2lcco
082 00 $a512/.7$221
100 1 $aDavenport, Harold,$d1907-1969.$0http://id.loc.gov/authorities/names/n80139843
245 10 $aMultiplicative number theory /$cHarold Davenport.
250 $a3rd ed. /$brev. by Hugh L. Montgomery.
260 $aNew York :$bSpringer,$c2000.
300 $axiii, 177 pages ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aGraduate texts in mathematics ;$v74
504 $aIncludes bibliographical references and index.
505 00 $g1.$tPrimes in Arithmetic Progression -- $g2.$tGauss' Sum -- $g3.$tCyclotomy -- $g4.$tPrimes in Arithmetic Progression: The General Modulus -- $g5.$tPrimitive Characters -- $g6.$tDirichlet's Class Number Formula -- $g7.$tThe Distribution of the Primes -- $g8.$tRiemann's Memoir -- $g9.$tThe Functional Equation of the L Functions -- $g10.$tProperties of the [Gamma] Function -- $g11.$tIntegral Functions of Order 1 -- $g12.$tThe Infinite Products for [zeta](s) and [zeta](s, [chi]) -- $g13.$tA Zero-Free Region for [zeta](s) -- $g14.$tZero-Free Regions for L(s, [chi]) -- $g15.$tThe Number N(T) -- $g16.$tThe Number N(T, [chi]) -- $g17.$tThe Explicit Formula for [psi](x) -- $g18.$tThe Prime Number Theorem -- $g19.$tThe Explicit Formula for [psi](x, [chi]) -- $g20.$tThe Prime Number Theorem for Arithmetic Progressions (I) -- $g21.$tSiegel's Theorem -- $g22.$tThe Prime Number Theorem for Arithmetic Progressions (II) -- $g23.$tThe Polya-Vinogradov Inequality -- $g24.$tFurther Prime Number Sums -- $g25.$tAn Exponential Sum Formed with Primes -- $g26.$tSums of Three Primes -- $g27.$tThe Large Sieve -- $g28.$tBombieri's Theorem -- $g29.$tAn Average Result -- $g30.$tReferences to Other Work.
520 1 $a"This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetic progressions, the theorem of Siegel, and functional equations of the L-functions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The third edition includes a large number of revisions and corrections as well as a new section with references to more recent work in the field."--BOOK JACKET.
650 0 $aNumber theory.$0http://id.loc.gov/authorities/subjects/sh85093222
650 0 $aNumbers, Prime.$0http://id.loc.gov/authorities/subjects/sh85093218
650 6 $aNombres, Théorie des.
650 6 $aNombres premiers.
700 1 $aMontgomery, Hugh L.$0http://id.loc.gov/authorities/names/n80139839
830 0 $aGraduate texts in mathematics ;$v74.$0http://id.loc.gov/authorities/names/n83723435
852 00 $bmat$hQA241$i.D32 2000