000			03125nam a22003735i 4500
001			287491
003			MX-SnUAN
005			20160429154549.0
007			cr nn 008mamaa
008			150903s2012 xxk| o |||| 0|eng d
020			_a9781447140962 _99781447140962
024	7		_a10.1007/9781447140962 _2doi
035			_avtls000339718
039		9	_a201509030318 _bVLOAD _c201404300404 _dVLOAD _y201402060942 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA241-247.5
100	1		_aBordellès, Olivier. _eautor _9316696
245	1	0	_aArithmetic Tales / _cby Olivier Bordellès.
264		1	_aLondon : _bSpringer London : _bImprint: Springer, _c2012.
300			_axxI, 556 páginas 5 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aUniversitext, _x0172-5939
500			_aSpringer eBooks
505	0		_aBasic Tools -- Bézout and Gauss -- Prime Numbers -- Arithmetic Functions -- Integer Points Close to Smooth Curves -- Exponential Sums -- Algebraic Number Fields.
520			_aNumber theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve.  In the past, a variety of very different techniques has been applied to further its understanding. Classical methods in analytic theory such as Mertens’ theorem and Chebyshev’s inequalities and the celebrated Prime Number Theorem give estimates for the distribution of prime numbers. Later on, multiplicative structure of integers leads to  multiplicative arithmetical functions for which there are many important examples in number theory. Their theory involves the Dirichlet convolution product which arises with the inclusion of several summation techniques and a survey of classical results such as Hall and Tenenbaum’s theorem and the Möbius Inversion Formula. Another topic is the counting integer points close to smooth curves and its relation to the distribution of squarefree numbers, which is rarely covered in existing texts. Final chapters focus on exponential sums and algebraic number fields. A number of exercises at varying levels are also included. Topics in Multiplicative Number Theory introduces offers a comprehensive introduction into these topics with an emphasis on analytic number theory. Since it requires very little technical expertise it  will appeal to a wide target group including upper level undergraduates, doctoral and masters level students.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781447140955
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4471-4096-2 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c287491 _d287491