東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Some applications of modular forms

Sarnak, Peter.

Linked to FindBook

Google Book

Amazon

博客來

Some applications of modular forms

Record Type:	Electronic resources : Monograph/item
Title/Author:	Some applications of modular forms/ Peter Sarnak.
Author:	Sarnak, Peter.
Published:	Cambridge :Cambridge University Press, : 1990.,
Description:	x, 111 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Forms, Modular. -
Online resource:	https://doi.org/10.1017/CBO9780511895593
ISBN:	9780511895593

Some applications of modular forms
Sarnak, Peter.

Some applications of modular forms[electronic resource] /Peter Sarnak. - Cambridge :Cambridge University Press,1990. - x, 111 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;99. - Cambridge tracts in mathematics ;99..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The 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.

ISBN: 9780511895593Subjects--Topical Terms:

540521
Forms, Modular.

LC Class. No.: QA243 / .S27 1990

Dewey Class. No.: 512.4

Some applications of modular forms
LDR:01917nmm a2200277 a 4500 001 2227358
003 UkCbUP
005 20151005020621.0
006 m d
007 cr nn 008maaau
008 210414s1990 enk o 1 0 eng d
020 $a 9780511895593 $q (electronic bk.)
020 $a 9780521402453 $q (hardback)
020 $a 9780521067706 $q (paperback)
035 $a CR9780511895593
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA243 $b .S27 1990
082 0 4 $a 512.4 $2 20
090 $a QA243 $b .S246 1990
100 1 $a Sarnak, Peter. $3 701569
245 1 0 $a Some applications of modular forms $h [electronic resource] / $c Peter Sarnak.
260 $a Cambridge : $b Cambridge University Press, $c 1990.
300 $a x, 111 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 99
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a The 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 $a Forms, Modular. $3 540521
830 0 $a Cambridge tracts in mathematics ; $v 99. $3 3470716
856 4 0 $u https://doi.org/10.1017/CBO9780511895593