Dummigan, N. (2022) Lifting congruences to half-integral weight. Research in Number Theory, 8. 59. ISSN 2363-9555
Abstract
Given a congruence of Hecke eigenvalues between newforms f and g of odd, square free level, and weight 2κ − 2, with even κ ≥ 6, we show that, under weak conditions, there is a congruence of Fourier coefficients between corresponding newforms of half-integral weight.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 The Author(s), under exclusive licence to Springer Nature Switzerland AG. This is an author-produced version of a paper subsequently published in Research in Number Theory. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Modular forms of half-integral weight; Saito–Kurokawa lifts; Congruences of modular forms |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 22 Jul 2022 09:38 |
Last Modified: | 11 Aug 2023 00:13 |
Status: | Published |
Publisher: | Springer Verlag |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1007/s40993-022-00356-3 |