The nontrivial zeros of period polynomials of modular forms lie on the unit circle

2012/01/11 by J. Brian Conrey, David Farmer, Conrey, J. Brian +3
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1201.2322

arxiv created 2012/01/30 · arxiv updated 2012/02/01

Abstract

We show that all but 5 of the zeros of the period polynomial associated to a Hecke cusp form are on the unit circle.

Related

• Period polynomials for Picard modular forms
• Zeros of even and odd period polynomials
• Modular forms and period polynomials
• The Riemann Hypothesis for period polynomials of Hilbert modular forms
• The Riemann Hypothesis for period polynomials of cusp forms