The space of period polynomials

Shinji Fukuhara

Acta Arithmetica (1997)

  • Volume: 82, Issue: 1, page 77-93
  • ISSN: 0065-1036

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Shinji Fukuhara. "The space of period polynomials." Acta Arithmetica 82.1 (1997): 77-93. <http://eudml.org/doc/207080>.

@article{ShinjiFukuhara1997,
author = {Shinji Fukuhara},
journal = {Acta Arithmetica},
keywords = {period polynomial; cusp form; modular form; Eichler-Shimura isomorphism; modular forms; space of period polynomials; Bernoulli polynomials; Eichler-Shimura theorem; cusp forms},
language = {eng},
number = {1},
pages = {77-93},
title = {The space of period polynomials},
url = {http://eudml.org/doc/207080},
volume = {82},
year = {1997},
}

TY - JOUR
AU - Shinji Fukuhara
TI - The space of period polynomials
JO - Acta Arithmetica
PY - 1997
VL - 82
IS - 1
SP - 77
EP - 93
LA - eng
KW - period polynomial; cusp form; modular form; Eichler-Shimura isomorphism; modular forms; space of period polynomials; Bernoulli polynomials; Eichler-Shimura theorem; cusp forms
UR - http://eudml.org/doc/207080
ER -

References

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  1. [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. Zbl0790.11044
  2. [2] H. Cohen, Sur certaines sommes de séries liées aux périodes de formes modulaires, in: Séminaire de théorie de nombres, Grenoble, 1981. 
  3. [3] S. Fukuhara, Modular forms, generalized Dedekind symbols and period polynomials, preprint, 1995. 
  4. [4] M. I. Knopp, Some new results on the Eichler cohomology of automorphic forms, Bull. Amer. Math. Soc. 80 (1974), 607-632. Zbl0292.10022
  5. [5] W. Kohnen and D. Zagier, Modular forms with rational periods, in: Modular Forms, R. A. Rankin (ed.), Ellis Horwood, 1984, 197-249. Zbl0618.10019
  6. [6] S. Lang, Introduction to Modular Forms, Springer, 1976. Zbl0344.10011
  7. [7] D. Zagier, Periods of modular forms and Jacobi theta functions, Invent. Math. 104 (1991), 449-465. Zbl0742.11029
  8. [8] D. Zagier, Periods of modular forms, traces of Hecke operators, and multiple zeta values, preprint. 

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