On the rationality of cycle integrals of meromorphic modular forms

Author:

Alfes-Neumann ClaudiaORCID,Bringmann Kathrin,Schwagenscheidt Markus

Funder

Alfried Krupp von Bohlen und Halbach-Stiftung

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference24 articles.

1. Abramowitz, M., Stegun, I.A.: Handbook of mathematical functions with formulas, graphs, and mathematical tables. National Bureau of Standards Applied Mathematics Series 55, (1964)

2. Alfes-Neumann, C., Schwagenscheidt, M.: Shintani theta lifts of harmonic Maass forms, preprint arXiv:1712.04491

3. Borcherds, R.: Automorphic forms with singularities on Grassmannians. Invent. Math. 132, 491–562 (1998)

4. Bringmann, K., Guerzhoy, P., Kane, B.: On cycle integrals of weakly holomorphic modular forms. Math. Proc. Cambridge Philos. Soc. 158, 439–449 (2015)

5. Bringmann, K., Kane, B., Kohnen, W.: Locally harmonic Maass forms and the kernel of the Shintani lift. Int. Math. Res. Notices 1, 3185–3224 (2015)

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1. Higher Siegel theta lifts on Lorentzian lattices, harmonic Maass forms, and Eichler–Selberg type relations;Mathematische Zeitschrift;2022-04-21

2. Locally harmonic Maass forms and periods of meromorphic modular forms;T AM MATH SOC;2021-07-29

3. Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms;Journal of Mathematical Analysis and Applications;2021-05

4. Meromorphic Modular Forms with Rational Cycle Integrals;International Mathematics Research Notices;2020-06-18

5. Traces of reciprocal singular moduli;Bulletin of the London Mathematical Society;2020-06-09

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