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The zeros of odd period polynomials for newforms on \(\Gamma _0(2)\)

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Abstract

We show that all but five of the zeros of the odd period polynomial associated to a newform of even weight k on \(\Gamma _0(2)\) are on the circle \(|z|=1/\sqrt{2}\) if \(k\ge 96\).

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Acknowledgements

We would like to express our thanks to the referee for his/ her valuable comments.

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Correspondence to SoYoung Choi.

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SoYoung Choi was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2020R1A2C1A01007112).

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Choi, S. The zeros of odd period polynomials for newforms on \(\Gamma _0(2)\). Ramanujan J 62, 761–779 (2023). https://doi.org/10.1007/s11139-023-00705-5

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  • DOI: https://doi.org/10.1007/s11139-023-00705-5

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