Elliptic Modular Forms and Their Applications

  title={Elliptic Modular Forms and Their Applications},
  author={Don Zagier},
Foreword These notes give a brief introduction to a number of topics in the classical theory of modular forms. Some of theses topics are (planned) to be treated in much more detail in a book, currently in preparation, based on various courses held at the Collège de France in the years 2000–2004. Here each topic is treated with the minimum of detail needed to convey the main idea, and longer proofs are omitted. Classical (or " elliptic ") modular forms are functions in the complex upper half… CONTINUE READING
Highly Cited
This paper has 41 citations. REVIEW CITATIONS
31 Citations
6 References
Similar Papers


Publications referenced by this paper.
Showing 1-6 of 6 references

Elliptic Modular Functions (Springer Grundlehren 203, 1974), R.A. Rankin’s Modular Forms and Modular Functions (Cambridge, 1977) and (in German) Elliptische Funktionen und Modulformen by M

  • B. Schoeneberg’s
  • Koecher and A. Krieg (Springer,
  • 1998

Birkhäuser, 1994) and the solutions by Milne and myself

  • Bertram Kostant
  • 1994

Zagier described in his very nice paper “Arithmetic of means of squares and cubes

  • in Internat. Math. Res. Notices,
  • 1994
1 Excerpt

For references and more on the history

  • Gordon, Webb, Wolpert
  • 1992

Examples of pairs of truly drum-like manifolds

  • Vignéras
  • 1980

Sums involving the values at negative integers of L functions of quadratic characters

  • H. Cohen
  • (Math. Annalen,
  • 1977

Similar Papers

Loading similar papers…