The nontrivial zeros of period polynomials of modular forms lie on the unit circle (Q2878676)
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scientific article; zbMATH DE number 6340079
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The nontrivial zeros of period polynomials of modular forms lie on the unit circle |
scientific article; zbMATH DE number 6340079 |
Statements
4 September 2014
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period polynomial
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modular form
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nontrivial zeros
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Hecke cusp form
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The nontrivial zeros of period polynomials of modular forms lie on the unit circle (English)
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In this work, the authors derive some relation on nontrivial zeros of period polynomials of modular forms lying on the unit circle, namely they show that all but five of the zeros of the period polynomial associated to a Hecke cusp form are on the unit circle. They collect their results in six lemmas, one theorem and one corollary.
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