The Riemann hypothesis for period polynomials of Hilbert modular forms

DOI10.1016/j.jnt.2020.07.004zbMath1475.11086arXiv2005.10763OpenAlexW3072877487MaRDI QIDQ2004932

Angelica Babei, Larry Rolen, Ian Wagner

Publication date: 7 October 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10763

zbMATH Keywords

Hilbert modular formsunimodular polynomialsperiod polynomials\(L\)-values

Mathematics Subject Classification ID

Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (1)

Periods of Hilbert modular forms, Kronecker series and cohomology

Uses Software

• Magma

Cites Work

• Cohomology and \(L\)-values
• Zeta-polynomials for modular form periods
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• The Magma algebra system. I: The user language
• Period polynomials, derivatives of \(L\)-functions, and zeros of polynomials
• Unimodularity of zeros of self-inversive polynomials
• Modular forms and period polynomials
• The Nontrivial Zeros of Period Polynomials of Modular Forms Lie on the Unit Circle
• Riemann hypothesis for period polynomials of modular forms
• PERIODS OF PARABOLIC FORMS AND $ p$-ADIC HECKE SERIES
• Unimodularity of zeros of period polynomials of Hecke eigenforms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Riemann hypothesis for period polynomials of Hilbert modular forms