Riemann hypothesis for period polynomials for cusp forms on \({\Gamma}_0(N)\) (Q6591604)
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scientific article; zbMATH DE number 7900419
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riemann hypothesis for period polynomials for cusp forms on \({\Gamma}_0(N)\) |
scientific article; zbMATH DE number 7900419 |
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Riemann hypothesis for period polynomials for cusp forms on \({\Gamma}_0(N)\) (English)
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22 August 2024
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Let \(f\) be a cusp form of even weight \(k\) and level \(N\). Then in the paper under review, the author proves that almost all of zeros of the period polynomial associated to \(f\) are on the circle \(|z| = 1/\sqrt{N}\) under some conditions. The proof is based on some analytical calculations with help of Maple and SageMath software.
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cusp form
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period polynomial
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Riemann hypothesis
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zero
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