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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Some Applications of Modular Forms

Some Applications of Modular Forms

Sarnak, Peter
Bollobas, Bela
Peter, Sarnak

Hardcover

Series: Cambridge Tracts in Mathematics, Book 99

AlgebraGeneral Mathematics

ISBN10: 052140245X
ISBN13: 9780521402453
Publisher: Cambridge University Press
Published: Nov 15 1990
Pages: 124
Weight: 0.73
Height: 0.54 Width: 6.36 Depth: 9.26
Language: English
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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