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Explicit formulas for the twisted Koecher–Maaß series of the Duke–Imamoglu–Ikeda lift and their applications
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Koecher-Maas series
Duke-Imamoglu-Ikeda lift
Rankin-Selberg series of half-integral weight
modular forms
11F67
KATSURADA Hidenori
We give an explicit formula for the twisted Koecher–Maaß series of the Duke–Imamoglu–Ikeda lift. As an application we prove a certain algebraicity result for the values of twisted Rankin–Selberg series at integers of half-integral weight modular forms, which was not treated by Shimura (J Math Soc Japan 33:649–672, 1981).
Mathematische Zeitschrift
276
3
1049-1075
2013-10
Springer
info:doi/10.1007/s00209-013-1232-z
00255874
14321823
AA0072420X
AA11629222
© 2013 Springer
http://link.springer.com/journal/209|http://link.springer.com/journal/209
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