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portada Some Applications of Modular Forms Hardback (Cambridge Tracts in Mathematics)
Type
Physical Book
Publisher
Author
Year
1990
Language
English
Pages
124
Format
Hardcover
ISBN
052140245x
ISBN13
9780521402453
Edition No.
1
Categories

Some Applications of Modular Forms Hardback (Cambridge Tracts in Mathematics)

Sarnak (Author) · Cambridge University Press · Hardcover

Some Applications of Modular Forms Hardback (Cambridge Tracts in Mathematics) - Sarnak

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Synopsis "Some Applications of Modular Forms Hardback (Cambridge Tracts in Mathematics) "

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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