# The space of period polynomials

Acta Arithmetica (1997)

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

## Access Full Article

top## How to cite

topShinji 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

top- [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] 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. Zbl0292.10022
- [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] S. Lang, Introduction to Modular Forms, Springer, 1976. Zbl0344.10011
- [7] D. Zagier, Periods of modular forms and Jacobi theta functions, Invent. Math. 104 (1991), 449-465. Zbl0742.11029
- [8] D. Zagier, Periods of modular forms, traces of Hecke operators, and multiple zeta values, preprint.

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.