Periods of modular forms on Gamma(0) (N) and products of Jacobi theta functions
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- Title
- Periods of modular forms on Gamma(0) (N) and products of Jacobi theta functions
- Authors
- CHOIE, YOUNG JU; Park, Yoon Kyung; Zagier, Don
- Date Issued
- 2019-03
- Publisher
- European Mathematical Society Publishing House
- Abstract
- Generalizing a result of [15] for modular forms of level one, we give a closed formula for the sum of all Hecke eigenforms on Gamma(0)(N), multiplied by their odd period polynomials in two variables, as a single product of Jacobi theta series for any squarefree level N. We also show that for N = 2, 3 and 5 this formula completely determines the Fourier expansions of all Hecke eigenforms of all weights on Gamma(0)(N).
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/96885
- DOI
- 10.4171/JEMS/864
- ISSN
- 1435-9855
- Article Type
- Article
- Citation
- Journal of the European Mathematical Society, vol. 21, no. 5, page. 1379 - 1410, 2019-03
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