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Double interlacing between zeros of modular forms

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Abstract

Let \(k\ge 10\) be even. We prove that the j-invariants of the non-elliptic zeros of \(aE_{2k}(z)-E_k^2(z)\) for \(a>2.63\) and\(bE_{2k}(z)+E_k^2(z)\) for \(b>0\) are real and doubly interlace.

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Acknowledgements

The authors are grateful to the referee for very helpful comments and suggestions.

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Correspondence to Daozhou Zhu.

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Xue, H., Zhu, D. Double interlacing between zeros of modular forms. Ramanujan J 60, 463–483 (2023). https://doi.org/10.1007/s11139-022-00650-9

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