ArticleOriginal scientific text

Title

The space of period polynomials

Authors 1

Affiliations

  1. Department of Mathematics, Tsuda College, Tsuda-machi 2-1-1, Kodaira-shi, Tokyo 187, Japan

Keywords

period polynomial, cusp form, modular form, Eichler-Shimura isomorphism

Bibliography

  1. Y. J. Choie and D. Zagier, Rational period functions, in: A Tribute to Emil Grosswald: Number Theory and Related Analysis, M. Knopp and M. Sheingorn (eds.), Contemp. Math. 143, Amer. Math. Soc., 1993, 89-108.
  2. H. Cohen, Sur certaines sommes de séries liées aux périodes de formes modulaires, in: Séminaire de théorie de nombres, Grenoble, 1981.
  3. S. Fukuhara, Modular forms, generalized Dedekind symbols and period polynomials, preprint, 1995.
  4. M. I. Knopp, Some new results on the Eichler cohomology of automorphic forms, Bull. Amer. Math. Soc. 80 (1974), 607-632.
  5. W. Kohnen and D. Zagier, Modular forms with rational periods, in: Modular Forms, R. A. Rankin (ed.), Ellis Horwood, 1984, 197-249.
  6. S. Lang, Introduction to Modular Forms, Springer, 1976.
  7. D. Zagier, Periods of modular forms and Jacobi theta functions, Invent. Math. 104 (1991), 449-465.
  8. D. Zagier, Periods of modular forms, traces of Hecke operators, and multiple zeta values, preprint.
Pages:
77-93
Main language of publication
English
Received
1996-11-06
Accepted
1997-01-17
Published
1997
Exact and natural sciences