000			02205nam a22003498i 4500
001			CR9780511895593
003			UkCbUP
005			20200124160240.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101123s1990||||enk o ||1 0|eng|d
020			_a9780511895593 (ebook)
020			_z9780521402453 (hardback)
020			_z9780521067706 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA243 _b.S27 1990
082	0	0	_a512/.4 _220
100	1		_aSarnak, Peter, _eauthor.
245	1	0	_aSome applications of modular forms / _cPeter Sarnak.
264		1	_aCambridge : _bCambridge University Press, _c1990.
300			_a1 online resource (x, 111 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v99
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThe theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale University, is concerned with describing some of these applications. In order to keep the presentation reasonably self-contained, Professor Sarnak begins by developing the necessary background material in modular forms. He then considers the solution of three problems: the Ruziewicz problem concerning finitely additive rotationally invariant measures on the sphere; the explicit construction of highly connected but sparse graphs: 'expander graphs' and 'Ramanujan graphs'; and the Linnik problem concerning the distribution of integers that represent a given large integer as a sum of three squares. These applications are carried out in detail. The book therefore should be accessible to a wide audience of graduate students and researchers in mathematics and computer science.
650		0	_aForms, Modular.
776	0	8	_iPrint version: _z9780521402453
830		0	_aCambridge tracts in mathematics ; _v99.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511895593
999			_c518471 _d518469