Work

The Riemann hypothesis for period polynomials of cusp forms

Year: 2025

Type: article

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

Source: Acta Arithmetica

DOI: 10.4064/aa240320-16-9

Authors: William Craig, Wissam Raji

Institutions: United States Naval Academy, American University of Beirut

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: American University of Beirut, European Commission, Division of Mathematical Sciences, H2020 European Research Council

Awards: (Mock) Modular Forms are Everywhere, G434337789