000			02958nam a22003738i 4500
001			CR9780511618314
003			UkCbUP
005			20200124160219.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090915s2007||||enk o ||1 0|eng|d
020			_a9780511618314 (ebook)
020			_z9780521849036 (hardback)
020			_z9781107405820 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA246 _b.M75 2007
082	0	4	_a512.723 _222
100	1		_aMontgomery, Hugh L., _eauthor.
245	1	0	_aMultiplicative number theory I : _bclassical theory / _cHugh L. Montgomery, Robert C. Vaughn.
264		1	_aCambridge : _bCambridge University Press, _c2007.
300			_a1 online resource (xvii, 552 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v97
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aDirichlet series I -- The elementary theory of arithmetic functions -- Principles and first examples of sieve methods -- Primes in arithmetic progressions I -- Dirichlet series II -- The prime number theorem -- Applications of the prime number theorem -- Further discussion of the prime number theorem -- Primitive characters and Gauss sums -- Analytic properties of the zeta function and L-functions -- Primes in arithmetic progressions II -- Explicit formulae -- Conditional estimates -- Zeros -- Oscillations of error terms -- Appendices. A. The Riemann-Stieltjes integral; B. Bernoulli numbers and the Euler-MacLaurin summation formula; C. The gamma function; D. Topics in harmonic analysis.
520			_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.
650		0	_aNumbers, Prime.
700	1		_aVaughan, R. C., _eauthor.
776	0	8	_iPrint version: _z9780521849036
830		0	_aCambridge studies in advanced mathematics ; _v97.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511618314
999			_c516572 _d516570