01833    a2200253   450000100060000000300090000600500170001500800410003202000250007304000130009804100080011108200190011910000390013824500980017726000520027530000340032750400390036152009570040065000180135770000380137594200080141399900170142195201410143811342IN-BhIIT20260105170420.0251224b        |||||||| |||| 00| 0 eng d  a9781107405820 (pbk.)  aIN-BhIIT  aeng  a512.723bMON/M  a Montgomery, Hugh L.eAuthor97581  aMultiplicative number theory I:bclassical theory /cHugh L. Montgomery and Robert C. Vaughan  aNew Delhi :bcambridge university press,c2012.  axvii, 552p. :biil. ;c20 cm.  aIncludes bibliographies and index.  aPrime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises.  anumber theory  a Vaughan,Robert C.eAuthor926878  cTRB  c15202d15202  00102ddc40708SBSaCLIITBBSbCLIITBBSd2025-11-25e46g971.25l0o512.723 MON/Mp11342r2025-11-25 00:00:00v1295.00w2025-11-25yTRB