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Simultaneous nonvanishing of central L-values with large level

  • Balesh Kumar , Murugesan Manickam and Karam Deo Shankhadhar EMAIL logo
Published/Copyright: March 26, 2024

Abstract

For a given normalized newform f of large prime level, we establish a lower bound with respect to the level for the number of normalized newforms g of the same weight and level as of f such that the central L-values of f and g both twisted by a quadratic character do not vanish.

MSC 2020: 11F11; 11F37

Communicated by Jan Bruinier


Acknowledgements

The authors would like to thank the anonymous referee for his comments which improved the presentation of the article.

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Received: 2024-01-05
Revised: 2024-03-11
Published Online: 2024-03-26
Published in Print: 2025-02-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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