Shintani lifts of nearly holomorphic modular forms
Canadian journal of mathematics, Tome 75 (2023) no. 5, pp. 1446-1492
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In this paper, we compute the Fourier expansion of the Shintani lift of nearly holomorphic modular forms. As an application, we deduce modularity properties of generating series of cycle integrals of nearly holomorphic modular forms.
Mots-clés :
Shintani lift, theta lifts, nearly holomorphic modular forms
Li, Yingkun; Zemel, Shaul. Shintani lifts of nearly holomorphic modular forms. Canadian journal of mathematics, Tome 75 (2023) no. 5, pp. 1446-1492. doi: 10.4153/S0008414X22000396
@article{10_4153_S0008414X22000396,
author = {Li, Yingkun and Zemel, Shaul},
title = {Shintani lifts of nearly holomorphic modular forms},
journal = {Canadian journal of mathematics},
pages = {1446--1492},
year = {2023},
volume = {75},
number = {5},
doi = {10.4153/S0008414X22000396},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X22000396/}
}
TY - JOUR AU - Li, Yingkun AU - Zemel, Shaul TI - Shintani lifts of nearly holomorphic modular forms JO - Canadian journal of mathematics PY - 2023 SP - 1446 EP - 1492 VL - 75 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X22000396/ DO - 10.4153/S0008414X22000396 ID - 10_4153_S0008414X22000396 ER -
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