000			02093nam a22003738i 4500
001			CR9781107359963
003			UkCbUP
005			20200124160237.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			130306s1994||||enk o ||1 0|eng|d
020			_a9781107359963 (ebook)
020			_z9780521427258 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	4	_aQA245 _b.S39 1994
082	0	0	_a512/.73 _220
100	1		_aSchwarz, Wolfgang, _d1934- _eauthor.
245	1	0	_aArithmetical functions : _ban introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties / _cWolfgang Schwarz, Jürgen Spilker.
264		1	_aCambridge : _bCambridge University Press, _c1994.
300			_a1 online resource (xix, 367 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v184
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThe aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Halász and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included, along with exercises and an extensive bibliography.
650		0	_aArithmetic functions.
650		0	_aNumber theory.
650		0	_aMean value theorems (Calculus)
700	1		_aSpilker, Jürgen, _eauthor.
776	0	8	_iPrint version: _z9780521427258
830		0	_aLondon Mathematical Society lecture note series ; _v184.
856	4	0	_uhttps://doi.org/10.1017/CBO9781107359963
999			_c518200 _d518198