The Riemann hypothesis for period polynomials of cusp forms

We consider the period polynomials $r_f(z)$ associated with cusp forms $f$ of weight $k$ on all of $\mathrm {SL}_2(\mathbb {Z})$, which are the generating functions for the critical $L$-values of the modular $L$-function associated to $f$. In 2014, El-Gui

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Publication Details

Journal
Acta Arithmetica
Published
2025-01-01
DOI
https://doi.org/10.4064/aa240320-16-9
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

The Riemann hypothesis for period polynomials of cusp forms

William Craig, Wissam Raji
Acta Arithmetica
Analytic Number Theory Research
article

The Riemann hypothesis for period polynomials of cusp forms

William Craig, Wissam Raji
article en

Abstract

We consider the period polynomials $r_f(z)$ associated with cusp forms $f$ of weight $k$ on all of $\mathrm {SL}_2(\mathbb {Z})$, which are the generating functions for the critical $L$-values of the modular $L$-function associated to $f$. In 2014, El-Gui

Acta ArithmeticaVol. 218(2)
United States Naval Academy (US), American University of Beirut (LB)
American University of Beirut, European Commission, Division of Mathematical Sciences
Reduced inequalities
Openalex Percentile: Top 98%
Analytic Number Theory Research
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