Kohnen’s formula and a conjecture of Darmon and Tornaría
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- by Matteo Longo and Zhengyu Mao PDF
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Abstract:
We generalize a result of W. Kohnen (1985) to explicit Waldspurger lifts constructed by E. M. Baruch and Z. Mao (2007). As an application, we prove a conjecture formulated by H. Darmon and G. Tornaría (2008).References
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Additional Information
- Matteo Longo
- Affiliation: Dipartimento di Matematica, Università di Padova, Via Trieste 63, 35121 Padova, Italy
- MR Author ID: 790759
- Email: mlongo@math.unipd.it
- Zhengyu Mao
- Affiliation: Department of Mathematics and Computer Science, Rutgers University, Newark, New Jersey 07102
- MR Author ID: 326784
- Email: zmao@rutgers.edu
- Received by editor(s): November 25, 2014
- Received by editor(s) in revised form: February 14, 2016, and February 29, 2016
- Published electronically: May 16, 2017
- Additional Notes: The first author was partly supported by PRIN 2010-11, Cariparo Foundation Project Differential Methods in Arithmetic, Geometry and Algebra, PRAT 2013 and INDAM. The second author was partly supported by NSF DMS 1400063.
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 370 (2018), 73-98
- MSC (2010): Primary 11F37, 11F67, 11G40; Secondary 11F85, 14G05
- DOI: https://doi.org/10.1090/tran/6930
- MathSciNet review: 3717975