000			02207nam a22003498i 4500
001			CR9780511566035
003			UkCbUP
005			20200124160331.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090518s1977||||enk o ||1 0|eng|d
020			_a9780511566035 (ebook)
020			_z9780521212120 (hardback)
020			_z9780521091688 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA243 _b.R36 1977
082	0	0	_a512.9/44 _219
100	1		_aRankin, Robert A. _q(Robert Alexander), _d1915- _eauthor.
245	1	0	_aModular forms and functions / _cRobert A. Rankin.
246	3		_aModular Forms & Functions
264		1	_aCambridge : _bCambridge University Press, _c1977.
300			_a1 online resource (xiii, 384 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThis book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. They can be expressed as Fourier series, and the Fourier coefficients frequently possess multiplicative properties which lead to a correspondence between modular forms and Dirichlet series having Euler products. The Fourier coefficients also arise in certain representational problems in the theory of numbers, for example in the study of the number of ways in which a positive integer may be expressed as a sum of a given number of squares. The treatment of the theory presented here is fuller than is customary in a textbook on automorphic or modular forms, since it is not confined solely to modular forms of integral weight (dimension). It will be of interest to professional mathematicians as well as senior undergraduate and graduate students in pure mathematics.
650		0	_aForms, Modular.
650		0	_aModular functions.
776	0	8	_iPrint version: _z9780521212120
856	4	0	_uhttps://doi.org/10.1017/CBO9780511566035
999			_c522612 _d522610