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Some applications of modular forms

By: Material type: TextTextLanguage: English Series: Cambridge tracts in mathematics ; 99Publication details: Cambridge Cambridge university press 1990Description: x, 111p. illISBN:
  • 0521402456 (HB)
Subject(s):
Contents:
1. Modular forms 2. Invariant means on L(Sn) 3. Ramanujan graphs 4. Bounds for Fourier coefficients of 1/2-integral weight
Summary: 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.
Item type: BOOKS
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IMSc Library 511.381 SAR (Browse shelf(Opens below)) Available 28678

Includes index

Includes bibliography (p. 103-109) and references

1. Modular forms
2. Invariant means on L(Sn)
3. Ramanujan graphs
4. Bounds for Fourier coefficients of 1/2-integral weight

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.

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