ENGLISH

Some applications of modular forms

By Peter Sarnak

Book information

Publisher
Cambridge University Press
Year
1990
ISBN
052140245X, 9780521402453
LCC
QA243 .S27 1990
Open Library ID
OL1584707M
Language
english
Format
DJVU
Filesize
881 kB (902028 bytes)
Series
Cambridge tracts in mathematics 99
Pages
117\117
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

The theory of modular forms and especially the so-called Ramanujan Conjectures have recently been applied to resolve problems in combinatorics, computer science, analysis, and number theory. Professor Sarnak begins by developing the necessary background material in modular forms. He then considers in detail the solution of three problems: the Rusiewisz problem concerning finitely additive rotationally invariant measures on the sphere; the explicit construction of highly connected but sparse graphs, e.g. 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.

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