Algebraicity of L-values attached to quaternionic modular forms
Canadian journal of mathematics, Tome 76 (2024) no. 2, pp. 638-679
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In this paper, we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well-established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric space is of non-tube type. We make various aspects very explicit, such as the doubling embedding, coset decomposition, and the definition of algebraicity of modular forms via CM-points.
Mots-clés :
Special L-values, Deligne’s conjecture, quaternionic modular forms, doubling method
Bouganis, Thanasis; Jin, Yubo. Algebraicity of L-values attached to quaternionic modular forms. Canadian journal of mathematics, Tome 76 (2024) no. 2, pp. 638-679. doi: 10.4153/S0008414X23000184
@article{10_4153_S0008414X23000184,
author = {Bouganis, Thanasis and Jin, Yubo},
title = {Algebraicity of {L-values} attached to quaternionic modular forms},
journal = {Canadian journal of mathematics},
pages = {638--679},
year = {2024},
volume = {76},
number = {2},
doi = {10.4153/S0008414X23000184},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000184/}
}
TY - JOUR AU - Bouganis, Thanasis AU - Jin, Yubo TI - Algebraicity of L-values attached to quaternionic modular forms JO - Canadian journal of mathematics PY - 2024 SP - 638 EP - 679 VL - 76 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000184/ DO - 10.4153/S0008414X23000184 ID - 10_4153_S0008414X23000184 ER -
%0 Journal Article %A Bouganis, Thanasis %A Jin, Yubo %T Algebraicity of L-values attached to quaternionic modular forms %J Canadian journal of mathematics %D 2024 %P 638-679 %V 76 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000184/ %R 10.4153/S0008414X23000184 %F 10_4153_S0008414X23000184
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