The space of period polynomials

• Autorzy: Shinji Fukuhara
• Języki publikacji: EN

Słowa kluczowe

EN

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

Kategorie tematyczne

• 11B68: Bernoulli and Euler numbers and polynomials
• 11F11: Holomorphic modular forms of integral weight
• 11F20: Dedekind eta function, Dedekind sums

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 82
• Numer: 1
• Strony: 77-93

Daty

wydano

1997

otrzymano

1996-11-06

poprawiono

1997-01-17

Twórcy

autor

Shinji Fukuhara

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

Bibliografia

• [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.