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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Kohnen’s formula and a conjecture of Darmon and Tornaría
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by Matteo Longo and Zhengyu Mao PDF
Trans. Amer. Math. Soc. 370 (2018), 73-98 Request permission

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).
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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