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Some Applications of Modular Forms

by Peter Sarnak , Sarnak Peter , Bela Bollobas
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Current price ₹15,237.00
Original price ₹15,582.00
Original price ₹15,582.00
Original price ₹15,582.00
(-2%)
₹15,237.00
Current price ₹15,237.00

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Book cover type: Hardcover
  • ISBN13: 9780521402453
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 124
  • Original Price: USD 159.0
  • Language: English
  • Edition: N/A
  • Item Weight: 332 grams
  • BISAC Subject(s): Algebra / General

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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